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Journal articles on the topic '1)$-categories'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Falguières, Sébastien, and Sven Raum. "TensorC∗-categories arising as bimodule categories of II 1 factors." Advances in Mathematics 237 (April 2013): 331–59. http://dx.doi.org/10.1016/j.aim.2012.12.020.

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2

Pepin Lehalleur, Simon. "Triangulated categories of relative 1-motives." Advances in Mathematics 347 (April 2019): 473–596. http://dx.doi.org/10.1016/j.aim.2019.02.021.

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3

Regidor-García, Antonio. "Proper Lusternik-Schnirelmann $\pi\sb 1$-categories." Hiroshima Mathematical Journal 36, no. 2 (2006): 175–202. http://dx.doi.org/10.32917/hmj/1166642299.

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4

Douglas, Michael R. "D-branes, categories and N=1 supersymmetry." Journal of Mathematical Physics 42, no. 7 (2001): 2818–43. http://dx.doi.org/10.1063/1.1374448.

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5

Hennion, Benjamin. "Tate objects in stable $(\infty, 1)$-categories." Homology, Homotopy and Applications 19, no. 2 (2017): 373–95. http://dx.doi.org/10.4310/hha.2017.v19.n2.a18.

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6

BERGNER, JULIA E. "EQUIVALENCE OF MODELS FOR EQUIVARIANT (∞, 1)-CATEGORIES." Glasgow Mathematical Journal 59, no. 1 (2016): 237–53. http://dx.doi.org/10.1017/s0017089516000136.

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AbstractIn this paper, we show that the known models for (∞, 1)-categories can all be extended to equivariant versions for any discrete groupG. We show that in two of the models we can also consider actions of any simplicial groupG.

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7

Caviglia, Giovanni, and Javier J. Gutiérrez. "Morita homotopy theory for (∞,1)-categories and ∞-operads." Forum Mathematicum 31, no. 3 (2019): 661–84. http://dx.doi.org/10.1515/forum-2018-0033.

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Abstract We prove the existence of Morita model structures on the categories of small simplicial categories, simplicial sets, simplicial operads and dendroidal sets, modelling the Morita homotopy theory of {(\infty,1)} -categories and {\infty} -operads. We give a characterization of the weak equivalences in terms of simplicial presheaves, simplicial algebras and slice categories. In the case of the Morita model structure for simplicial categories and simplicial operads, we also show that each of these model structures can be obtained as an explicit left Bousfield localization of the Bergner mo

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8

Hermida, Claudio, Michael Makkai, and John Power. "On weak higher dimensional categories I: Part 1." Journal of Pure and Applied Algebra 154, no. 1-3 (2000): 221–46. http://dx.doi.org/10.1016/s0022-4049(99)00179-6.

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9

Bogdanic, Dusko, and Ivan-Vanja Boroja. "Decomposable Extensions Between Rank 1 Modules in Grassmannian Cluster Categories." Sarajevo Journal of Mathematics 18, no. 2 (2024): 297–312. http://dx.doi.org/10.5644/sjm.18.02.10.

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Rank $1$ modules are the building blocks of the category ${\rm CM}(B_{k,n}) $ of Cohen-Macaulay modules over a quotient $B_{k,n}$ of a preprojective algebra of affine type $A$. Jensen, King and Su showed in \cite{JKS16} that the category ${\rm CM}(B_{k,n})$ provides an additive categorification of the cluster algebra structure on the coordinate ring $\mathbb C[{\rm Gr}(k, n)]$ of the Grassmannian variety of $k$-dimensional subspaces in $\mathbb C^n$. Rank $1$ modules are indecomposable, they are known to be in bijection with $k$-subsets of $\{1,2,\dots,n\}$, and their explicit construction has

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Bruillard, Paul, Siu-Hung Ng, Eric C. Rowell, and Zhenghan Wang. "On Classification of Modular Categories by Rank: Table A.1." International Mathematics Research Notices 2016, no. 24 (2016): 7546–88. http://dx.doi.org/10.1093/imrn/rnw020.

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GOTO, Kazuya, Akira KUBO, and Noritsune KOUZU. "Differences in Muscle Mass between Care Needs Categories 1 and 2." Rigakuryoho kagaku 30, no. 2 (2015): 197–201. http://dx.doi.org/10.1589/rika.30.197.

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12

NISHIMURA, HIROKAZU. "Axiomatic differential geometry I-1 - towards model categories of differential geometry." MATHEMATICS FOR APPLICATIONS 1, no. 2 (2012): 171–82. http://dx.doi.org/10.13164/ma.2012.11.

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13

Spivak, David I., Patrick Schultz, and Dylan Rupel. "String diagrams for traced and compact categories are oriented 1-cobordisms." Journal of Pure and Applied Algebra 221, no. 8 (2017): 2064–110. http://dx.doi.org/10.1016/j.jpaa.2016.10.009.

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14

Mikulincer, Mario, Peri Kedem, and Dov Paz. "Anxiety and categorization—1. The structure and boundaries of mental categories." Personality and Individual Differences 11, no. 8 (1990): 805–14. http://dx.doi.org/10.1016/0191-8869(90)90189-x.

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15

Wenzl, Hans. "On module categories related to $Sp(N-1) \subset Sl(N)$." Pure and Applied Mathematics Quarterly 19, no. 5 (2023): 2573–607. http://dx.doi.org/10.4310/pamq.2023.v19.n5.a8.

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16

Van Dillen, Linda R., Shirley A. Sahrmann, Barbara J. Norton, Cheryl A. Caldwell, Mary Kate McDonnell, and Nancy J. Bloom. "Movement System Impairment-Based Categories for Low Back Pain: Stage 1 Validation." Journal of Orthopaedic & Sports Physical Therapy 33, no. 3 (2003): 126–42. http://dx.doi.org/10.2519/jospt.2003.33.3.126.

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17

Jehn, Karen A., and Lorna Doucet. "Developing Categories from Interview Data: Text Analysis and Multidimensional Scaling. Part 1." CAM Journal 8, no. 2 (1996): 15–16. http://dx.doi.org/10.1177/1525822x960080020401.

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18

Shoikhet, Boris. "Graded Leinster Monoids and Generalized Deligne Conjecture for 1-Monoidal Abelian Categories." International Mathematics Research Notices 2018, no. 19 (2017): 5857–937. http://dx.doi.org/10.1093/imrn/rnx012.

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19

Rigter, B. "Linguistic categories: auxiliaries and related puzzles. Vol. 1: Categories, xiv+294 pp. Vol. 2: The scope, order and distribution of English auxiliary verbs." Lingua 69, no. 4 (1986): 355–82. http://dx.doi.org/10.1016/0024-3841(86)90063-x.

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20

Rúa, Manuel. "The Learning of Conceptual Categories for Students with Level 1 Autism Spectrum Disorder." Journal of Intellectual Disability - Diagnosis and Treatment 4, no. 2 (2016): 129–39. http://dx.doi.org/10.6000/2292-2598.2016.04.02.6.

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21

Macpherson, James. "2-Representations and associated coalgebra 1-morphisms for locally wide finitary 2-categories." Journal of Pure and Applied Algebra 226, no. 11 (2022): 107081. http://dx.doi.org/10.1016/j.jpaa.2022.107081.

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22

Rigel Hines, Tesa. "Demographic Group Representation in Occupational Categories: A Longitudinal Study of EEO-1 Data." Labor Studies Journal 45, no. 4 (2019): 331–50. http://dx.doi.org/10.1177/0160449x19857235.

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Demographic group representation in medium and large private-sector employers was analyzed using multiple regression and EEO-1 data. Across 21 years (1996-2016), these data show an underrepresentation of white women and nonwhites in official and managerial positions, though this is increasing. Nonwhite men are also underrepresented in professional positions, and increasing. Nonwhite employees are overrepresented and increasing representation across other occupational categories. Unemployment rates, a Democratic president, and charges of discrimination are among the control variables with model

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23

Kajiura, Hiroshige, Kyoji Saito та Atsushi Takahashi. "Triangulated categories of matrix factorizations for regular systems of weights with ε=−1". Advances in Mathematics 220, № 5 (2009): 1602–54. http://dx.doi.org/10.1016/j.aim.2008.11.001.

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24

Howe, Andrea, Leslie Hoo Fung, Gerald Lalor, Robin Rattray, and Mitko Vutchkov. "Elemental composition of Jamaican foods 1: A survey of five food crop categories." Environmental Geochemistry and Health 27, no. 1 (2005): 19–30. http://dx.doi.org/10.1007/s10653-004-5671-7.

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25

Bartsch, Helen, Karl Drebenstedt, Benjamin Seyfried, Markus Feldmann, Ulrike Kuhlmann, and Thomas Ummenhofer. "Analysis of fatigue test data to reassess EN 1993‐1‐9 detail categories." Steel Construction 13, no. 4 (2020): 280–93. http://dx.doi.org/10.1002/stco.202000019.

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26

Liu, Xingjian. "The Categories, Mechanisms and Features of Nonnucleoside Reverse Transcriptase Inhibitors of HIV-1." Highlights in Science, Engineering and Technology 36 (March 21, 2023): 1193–201. http://dx.doi.org/10.54097/hset.v36i.6202.

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AIDS, or acquired immune deficiency syndrome is a dangerous disease of our age, and is mainly caused by HIV-1. In the last decades, researchers have paid attention to the inhibitors of reverse transcriptase (RT) of HIV-1 as a promising candidate for antiviral drugs. The reverse transcriptase (RT) is a crucial enzyme in the life cycle of HIV-1, responsible for the conversion of viral RNA to proviral DNA which will be later integrated with the genome of infected cells. RT is composed of two function domains: an RNA and DNA-dependent polymerase domain and an RNase H domain, which are respectively

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27

Cockett, J. R. B. "Introduction to distributive categories." Mathematical Structures in Computer Science 3, no. 3 (1993): 277–307. http://dx.doi.org/10.1017/s0960129500000232.

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Distributive category theory is the study of categories with two monoidal structures, one of which “distributes” over the other in some manner. When these are the product and coproduct, this distribution is taken to be the lawwhich asserts that the obvious canonical map has an inverse. A distributive category is here taken to mean a category with finite products and binary coproducts such that this law is satisfied.In any distributive category the coproduct of the final object with itself, 1 + 1, forms a boolean algebra. Thus, maps into 1 + 1 provide a boolean logic: if each such map recognize

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28

Nuiten, Joost. "On straightening for Segal spaces." Compositio Mathematica 160, no. 3 (2024): 586–656. http://dx.doi.org/10.1112/s0010437x23007674.

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The straightening–unstraightening correspondence of Grothendieck–Lurie provides an equivalence between cocartesian fibrations between $(\infty, 1)$ -categories and diagrams of $(\infty, 1)$ -categories. We provide an alternative proof of this correspondence, as well as an extension of straightening–unstraightening to all higher categorical dimensions. This is based on an explicit combinatorial result relating two types of fibrations between double categories, which can be applied inductively to construct the straightening of a cocartesian fibration between higher categories.

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29

Chen, Monica F., Weining Ma, Betty Ann Caravella, et al. "Standardizing radiologic reporting of response to improve the patient experience: Comparing response categories of RECIST 1.1 and a novel, real-world, standardized, oncologic response lexicon derived from clinical radiology reports." Journal of Clinical Oncology 42, no. 16_suppl (2024): e13810-e13810. http://dx.doi.org/10.1200/jco.2024.42.16_suppl.e13810.

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e13810 Background: With the 21st Century Cures Act of 2016, rapid and complete access to medical records including radiology reports is mandated. Patients have expressed that an unmet need is improving clarity in radiology results with more structured information that avoids technical jargon. RECIST is routinely applied in clinical trials to assess treatment response but is challenging to apply in routine practice. A standardized Oncologic Response (OR) lexicon was developed to categorize response and progression directly from clinical reports, using an ordinal scale. This study aims to compar

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30

Uriagereka, Juan. "Categories with Complements." Philosophies 7, no. 5 (2022): 102. http://dx.doi.org/10.3390/philosophies7050102.

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Verbs and nouns gear θ-dependencies, Case, agreement, or construal relations. Building on Chomsky’s 1974 decomposition of such categories into ±N, ±V features, by translating said features into ±1, ±i scalars that allow for the construction of a vector space, this paper studies the possibility of organizing said features into 2 × 2 square matrices. In the system proposed to explore “head-complement” relations, operating on nouns yields a measurable/observable (Hermitian matrix), which in turn limits other potential combinations with abstract lexical categories. Functional/grammatical categorie

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31

Barwick, Clark, and Christopher Schommer-Pries. "On the unicity of the theory of higher categories." Journal of the American Mathematical Society 34, no. 4 (2021): 1011–58. http://dx.doi.org/10.1090/jams/972.

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We axiomatise the theory of ( ∞ , n ) (\infty ,n) -categories. We prove that the space of theories of ( ∞ , n ) (\infty ,n) -categories is a B ( Z / 2 ) n B(\mathbb {Z}/2)^n . We prove that Rezk’s complete Segal Θ n \Theta _n spaces, Simpson and Tamsamani’s Segal n n -categories, the first author’s n n -fold complete Segal spaces, Kan and the first author’s n n -relative categories, and complete Segal space objects in any model of ( ∞ , n − 1 ) (\infty , n-1) -categories all satisfy our axioms. Consequently, these theories are all equivalent in a manner that is unique up to the action of ( Z /

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32

Jannah, Sella Miftahul, and Aan Hendrayana. "Analysis of students’ mathematical concept understanding ability in learning after covid-19 pandemic at SMPN 1 Anyar." Math Didactic: Jurnal Pendidikan Matematika 9, no. 1 (2023): 86–97. http://dx.doi.org/10.33654/math.v9i1.1991.

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The purpose of this study was to determine the ability of SMPN 1 Anyar students to understand mathematical concepts in learning after the Covid-19 pandemic. The method used in this study is a qualitative descriptive method with students of IX-C SMPN 1 Anyar as the participants. The data were collected from a test form of 7 description questions with the focus of quadratic equation material and a semi-structured interview as a non-test instrument. The results of the student's mathematical concept understanding ability test are found to be two students with very good categories, three students w

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33

Alé-Chilet, Aníbal, Carolina Bernal-Morales, Marina Barraso, et al. "Optical Coherence Tomography Angiography in Type 1 Diabetes Mellitus—Report 2: Diabetic Kidney Disease." Journal of Clinical Medicine 11, no. 1 (2021): 197. http://dx.doi.org/10.3390/jcm11010197.

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The purpose of this study is to investigate potential associations between optical coherence tomography angiography (OCTA) parameters and diabetic kidney disease (DKD) categories in type 1 diabetes mellitus (T1DM) patients and controls. A complete ocular and systemic examination, including OCTA imaging tests and bloods, was performed. OCTA parameters included vessel density (VD), perfusion density (PD), foveal avascular zone area (FAZa), perimeter (FAZp) and circularity (FAZc) in the superficial vascular plexus, and DKD categories were defined according to glomerular filtration rate (GFR), alb

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34

Toën, Bertrand, та Michel Vaquié. "Au-dessous de Specℤ". Journal of K-theory 3, № 3 (2008): 437–500. http://dx.doi.org/10.1017/is008004027jkt048.

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AbstractIn this article we use the theories of relative algebraic geometry and of homotopical algebraic geometry (cf. [HAGII]) to construct some categories of schemes defined under Specℤ. We define the categories of ℕ-schemes, 1-schemes, -schemes, +-schemes and 1-schemes, where (from an intuitive point of view) ℕ is the semi-ring of natural numbers, 1 is the field with one element, is the ring spectra of integers, + is the semi-ring spectra of natural numbers and 1 is the ring spectra with one element. These categories of schemes are linked together by base change functors, and all of them hav

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35

Blumberg, S., Z. Barnea, R. Cernes, et al. "MON-LB685: Transition Between Nutrition Categories in Hemodialysis Patients, 1 Year Follow Up Study." Clinical Nutrition 38 (September 2019): S314. http://dx.doi.org/10.1016/s0261-5614(19)32140-5.

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36

Ebbesen, P., M. Melbye, J. Suni, et al. "Diffusion of HIV-1 virus into non-habitual categories at risk in European countries." European Journal of Cancer and Clinical Oncology 24, no. 10 (1988): 1677–79. http://dx.doi.org/10.1016/0277-5379(88)90063-6.

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37

Lin, YaNan, and LiDan Tang. "Subcategories of fixed points of mutations in root categories with type Ã n−1." Science China Mathematics 53, no. 12 (2010): 3057–66. http://dx.doi.org/10.1007/s11425-010-4089-1.

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38

Van Goethem, Kristel. "Lexical categories and processes of category change. Perspectives for a constructionist approach¹." Zeitschrift für Wortbildung / Journal of Word Formation 1, no. 2 (2017): 31–61. http://dx.doi.org/10.3726/zwjw.2017.02.02.

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Abstract This paper revisits the notions of lexical category and category change from a constructionist perspective. I distinguish between four processes of category change (affixal derivation, conversion, transposition and reanalysis) and demonstrate how these category-changing processes can be analyzed in the framework of Construction Grammar. More particularly, it will be claimed that lexical categories can be understood as abstract instances of constructions (i.e., form-function pairings) and category change will be assumed to be closely connected to the process of constructionalization, i

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39

Azmi, Nurul, and Festiyed Festiyed. "Meta Analysis: The Influence of Instrument Assessment on Project-Based Learning Models to Improve 4C Skills." Jurnal Penelitian Pendidikan IPA 9, no. 4 (2023): 2184–90. http://dx.doi.org/10.29303/jppipa.v9i4.2606.

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This study aims to 1) analyze the effect of the project-based learning model in terms of 4C skills, 2) analyze the influence of the project-based learning model in terms of education level, and 3) analyze the influence of the project-based learning model in terms of learning materials. The type of research applied to this study is meta-analysis. The results of this study are: 1) the project-based learning model has an influence to improve 4C skills with an average effect size on critical thinking skills of 2.23 high categories, creative thinking skills of 0.92 high categories, communication sk

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40

Rispatiningsih, Dwi Maryati, and Ayu Lestari. "ANALISIS BAHAN AJAR BAHASA INGGRIS DI SMB DHAMMA PANNA TEMANGGUNG." ABIP : Agama Buddha dan Ilmu Pengetahuan 3, no. 2 (2021): 35–46. http://dx.doi.org/10.53565/abip.v3i2.236.

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This research objectives was to identify and dscribe the quality of English Textboooks. The companion boook entitled English Book Elementary School. Specially, it’s seen from: a) content feasibility; b) language eligibility; c) feasibility of serving; d) Graphic feasibility; and e) the level of readability of the discourse in teaching in teacing materials or text books. This research is evaluative research, the method used in this resarch is mixed methods research. The sbjects of studied were three books. The results showed that the content feasibility, very good category was in KLS 2 and KLS

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41

RIEHL, EMILY. "On the structure of simplicial categories associated to quasi-categories." Mathematical Proceedings of the Cambridge Philosophical Society 150, no. 3 (2011): 489–504. http://dx.doi.org/10.1017/s0305004111000053.

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AbstractThe homotopy coherent nerve from simplicial categories to simplicial sets and its left adjoint are important to the study of (∞, 1)-categories because they provide a means for comparing two models of their respective homotopy theories, giving a Quillen equivalence between the model structures for quasi-categories and simplicial categories. The functor also gives a cofibrant replacement for ordinary categories, regarded as trivial simplicial categories. However, the hom-spaces of the simplicial category X arising from a quasi-category X are not well understood. We show that when X is a

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42

Bartsch, Helen, and Markus Feldmann. "Reassessment of fatigue detail categories of bolts and rods according to EC 3-1-9." Journal of Constructional Steel Research 180 (May 2021): 106588. http://dx.doi.org/10.1016/j.jcsr.2021.106588.

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43

Braak, Heiko, Dietmar R. Thal, Estifanos Ghebremedhin, and Kelly Del Tredici. "Stages of the Pathologic Process in Alzheimer Disease: Age Categories From 1 to 100 Years." Journal of Neuropathology & Experimental Neurology 70, no. 11 (2011): 960–69. http://dx.doi.org/10.1097/nen.0b013e318232a379.

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44

Bastianelli, D., F. Grosjean, C. Peyronnet, M. Duparque, and J. M. Régnier. "Feeding value of pea (Pisum sativum, L.) 1. Chemical composition of different categories of pea." Animal Science 67, no. 3 (1998): 609–19. http://dx.doi.org/10.1017/s1357729800033051.

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AbstractLines of peas (no. = 213) grown in the same location were analysed for 1000 seed weight, protein, starch, fat, sugars, ashes and fibre content. Some 54 lines of peas out of the total 213 were grown in large amounts and analysed for the same criteria and also for amino acids, legumin, vicilin, lectins, trypsin inhibitor activity, carbohydrates, fatty acids, tannins, saponins. The lines have been arranged into four categories according to the shape, colour, weight, chemical composition and end uses of the seeds. Feed peas and garden peas are round and have similar composition in terms of

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45

Cacciolati, Cécilia, Olivier Hanon, Carole Dufouil, Annick Alpérovitch, and Christophe Tzourio. "Categories of hypertension in the elderly and their 1-year evolution. The Three-City Study." Journal of Hypertension 31, no. 4 (2013): 680–89. http://dx.doi.org/10.1097/hjh.0b013e32835ee0ca.

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46

Femic, Bojana. "Enrichment and internalization in tricategories, the case of tensor categories and alternative notion to intercategories." Filomat 38, no. 8 (2024): 2601–60. https://doi.org/10.2298/fil2408601f.

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This paper emerged as a result of tackling the following three issues. Firstly, we would like the well known embedding of bicategories into pseudo double categories to be monoidal, which it is not if one uses the usual notion of a monoidal pseudo double category. Secondly, in [3] the question was raised: which would be an alternative notion to intercategories of Grandis and Par?, so that monoids in B?hm?s monoidal category (Dbl,?) of strict double categories and strict double functors with a Gray type monoidal product be an example of it? We obtain and prove that precisely the monoidal structu

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47

Huizenga, Leroy Andrew. "Matt 1:1: “Son of Abraham” as Christological Category." Horizons in Biblical Theology 30, no. 2 (2008): 103–13. http://dx.doi.org/10.1163/187122008x340842.

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AbstractMatt 1:1 raises interpretive questions regarding its scope as a potential title and the import of the phrases “son of David” and “son of Abraham.” This article contends that “son of Abraham” introduces a significant sacrificial Christological category centered on the figure of Isaac which complements the Messianic aspects of Jesus Christ's ministry associated with the title “son of David.” “Son of David” and “son of Abraham” therefore stand in parallel at the beginning of the Gospel of Matthew as two titular designations specifying two Christological categories of the greatest import f

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48

Ara, Dimitri. "Higher Quasi-Categories vs Higher Rezk Spaces." Journal of K-theory 14, no. 3 (2014): 701–49. http://dx.doi.org/10.1017/s1865243315000021.

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AbstractWe introduce a notion of n-quasi-categories as fibrant objects of a model category structure on presheaves on Joyal's n-cell category Θn. Our definition comes from an idea of Cisinski and Joyal. However, we show that this idea has to be slightly modified to get a reasonable notion. We construct two Quillen equivalences between the model category of n-quasi-categories and the model category of Rezk Θn-spaces, showing that n-quasi-categories are a model for (∞, n)-categories. For n = 1, we recover the two Quillen equivalences defined by Joyal and Tierney between quasi-categories and comp

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Yoder, Timothy R., Noel Addy, and Brian P. McAllister. "Tax-Motivated Increases in Qualifying Distributions by Private Foundations." Journal of the American Taxation Association 33, no. 1 (2011): 79–108. http://dx.doi.org/10.2308/jata.2011.33.1.79.

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ABSTRACT: We examine three categories of private foundations with tax incentives to increase their qualifying distributions: (1) foundations barely qualifying for the 1 percent tax rate on net investment income, (2) foundations barely avoiding the tax on undistributed income, and (3) foundations that pay an excise tax on undistributed income. We expect tax-motivated foundations to use allocations across expense categories and over time to increase their qualifying distributions. Our sample consists of a balanced panel of 1,974 private foundations over a 12-year period from 1995 through 2006, r

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50

Watmough, Shaun, Spencer Gilbert-Parkes, Nathan Basiliko, et al. "Variation in carbon and nitrogen concentrations among peatland categories at the global scale." PLOS ONE 17, no. 11 (2022): e0275149. http://dx.doi.org/10.1371/journal.pone.0275149.

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Peatlands account for 15 to 30% of the world’s soil carbon (C) stock and are important controls over global nitrogen (N) cycles. However, C and N concentrations are known to vary among peatlands contributing to the uncertainty of global C inventories, but there are few global studies that relate peatland classification to peat chemistry. We analyzed 436 peat cores sampled in 24 countries across six continents and measured C, N, and organic matter (OM) content at three depths down to 70 cm. Sites were distinguished between northern (387) and tropical (49) peatlands and assigned to one of six di

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