Relevant bibliographies by topics / Lusternik

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Lusternik'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Lusternik"

1

Hovey, Mark. "Lusternik-Schnirelmann cocategory." Illinois Journal of Mathematics 37, no. 2 (1993): 224–39. http://dx.doi.org/10.1215/ijm/1255987145.

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Ayala, R., and A. Quintero. "On the Ganea strong category in proper homotopy." Proceedings of the Edinburgh Mathematical Society 41, no. 2 (1998): 247–63. http://dx.doi.org/10.1017/s0013091500019623.

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This paper contains some basic relations between Ganea strong category and Lusternik Schnirelmann category in proper homotopy theory. We focus our interest on the case of category 2 in order to show that ℚn is the unique open n-manifold with proper Lusternik-Schnirelmann category 2 (n ≠ 3).
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Fernández-Ternero, Desamparados, Enrique Macías-Virgós, Erica Minuz, and José Antonio Vilches. "Simplicial Lusternik-Schnirelmann category." Publicacions Matemàtiques 63 (January 1, 2019): 265–93. http://dx.doi.org/10.5565/publmat6311909.

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Cornea, Octavian. "Lusternik-Schnirelmann-categorical sections." Annales scientifiques de l'École normale supérieure 28, no. 6 (1995): 689–704. http://dx.doi.org/10.24033/asens.1730.

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de Groot, J. A. M., and J. Vermeer. "Lusternik, Schnirelman for subspaces." Topology and its Applications 115, no. 3 (2001): 343–54. http://dx.doi.org/10.1016/s0166-8641(00)00076-6.

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BORAT, Ayşe, and Tane VERGİLİ. "Digital Lusternik–Schnirelmann category." TURKISH JOURNAL OF MATHEMATICS 42, no. 4 (2018): 1845–52. http://dx.doi.org/10.3906/mat-1801-94.

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ZAPATA, CESAR A. IPANAQUE. "CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE." Bulletin of the Australian Mathematical Society 100, no. 3 (2019): 507–17. http://dx.doi.org/10.1017/s0004972719000479.

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The Lusternik–Schnirelmann category cat and topological complexity TC are related homotopy invariants. The topological complexity TC has applications to the robot motion planning problem. We calculate the Lusternik–Schnirelmann category and topological complexity of the ordered configuration space of two distinct points in the product $G\times \mathbb{R}^{n}$ and apply the results to the planar and spatial motion of two rigid bodies in $\mathbb{R}^{2}$ and $\mathbb{R}^{3}$ respectively.
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Viterbo, Claude. "and the Lusternik-Shnirelman category." Duke Mathematical Journal 86, no. 3 (1997): 547–64. http://dx.doi.org/10.1215/s0012-7094-97-08617-8.

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Felix, Yves, Steve Halperin, and Jean-Claude Thomas. "Lusternik–Schnirelmann category of skeleta." Topology and its Applications 125, no. 2 (2002): 357–61. http://dx.doi.org/10.1016/s0166-8641(01)00288-7.

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Singh, Harpreet. "Lusternik-Schnirelmann category and cobordism." Proceedings of the American Mathematical Society 102, no. 1 (1988): 183. http://dx.doi.org/10.1090/s0002-9939-1988-0915741-1.

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Dissertations / Theses on the topic "Lusternik"

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Shaw, Edmund. "Equivariant Lusternik-Schnirelmann category." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302894.

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Costoya-Ramos, Maria Cristina. "Catégorie de Lusternik-Schnirelmann et genre de Mislin." Lille 1, 2003. https://pepite-depot.univ-lille.fr/RESTREINT/Th_Num/2003/50376-2003-7.pdf.

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Dans cette thèse, nous obtenons des réponses, partielles ou complètes, à ces deux questions dans les cas des espaces finis. Après avoir considéré plusieurs minorants de la catégorie et vérifié que les réponses pour ces invariants sont positives, nous abordons la catégorie dans trois directions. Pour les espaces ayant le type d'homotopie rationnelle d'un H-espace fini nous obtenons que les termes diffèrent d'au plus une unité. Pour cela nous utilisons la caractérisation de la catégorie à l'aide des modèles minimaux. Pour les espaces X ayant le type d'homotopie rationnelle d'un co-H-espace nous
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Ndombol, Bitjong. "Sur la catégorie de Lusternik-Schnirelmann des algèbres de cochaînes." Nice, 1989. http://www.theses.fr/1989NICE4313.

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Les difficultés que posent le calcul de la catégorie de Lusternik-Schnirelmann d'un espace topologique ont amené certains auteurs à en définir des approximations par défaut. En particulier Halperin et Lemaire ont défini, pour une algèbre de cochaînes connexe sur un corps de caractéristiques quelconques, trois notions de catégories qui a priori sont distinctes. Dans ce travail, nous montrons que ces trois invariants sont égaux et que l'unique notion ainsi obtenue vérifie la conjecture de Ganéa et est invariante par extension de corps
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Spencer, Gwen. "Combinatorial Consequences of Relatives of the Lusternik-Schnirelmann-Borsuk Theorem." Scholarship @ Claremont, 2005. https://scholarship.claremont.edu/hmc_theses/175.

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Call a set of 2n + k elements Kneser colored when its n-subsets are put into classes such that disjoint n-subsets are in different classes. Kneser showed that k + 2 classes are sufficient to Kneser-color the n-subsets of a 2n + k element set. There are several proofs that this same number is necessary which rely on fixed-point theorems related to the Lusternik-Schnirelmann- Borsuk (LSB) theorem. By employing generalizations of these theorems we expand the proofs mentioned to obtain proofs of an original result we call the Subcoloring theorem. The Subcoloring theorem asserts the existence of a
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Fass'so, Velenik Agnese. "Relative homotopy invariants of the type of the Lusternik-Schnirelmann category." [S.l.] : [s.n.], 2003. http://www.diss.fu-berlin.de/2003/277/index.html.

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Moyaux, Pierre-Marie Cornéa Octavian. "Propriétés homotopiques et dynamiques de la catégorie relative de Lusternik - Schnirelmann." [S.l.] : [s.n.], 2002. http://www.univ-lille1.fr/bustl-grisemine/pdf/extheses/50376-2002-63-64.pdf.

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Moyaux, Pierre-Marie. "Propriétés homotopiques et dynamiques de la catégorie relative de Lusternik - Schnirelmann." Lille 1, 2002. https://pepite-depot.univ-lille.fr/LIBRE/Th_Num/2002/50376-2002-63-64.pdf.

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Alsulami, Samirah Hameed Break. "Homotopy types of topological groupoids and Lusternik-Schnirelmann category of topological stacks." Thesis, University of Leicester, 2016. http://hdl.handle.net/2381/38094.

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The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental paper [7]. The idea behind it is a small category in which every arrow is invertible. This notion of groupoid can be thought of as a generalisation of the notion of a group. Namely, a group is a groupoid with only one object. After the introduction of topological and differentiable groupoids by Ehresmann in 1950 in his paper on connections [19], the concept has been widely studied by many mathematicians in many areas of topology, geometry and physics. In this thesis, we deal with topological groupoids as the
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MELO, Jéssyca Lange Ferreira. "Multiplicidade de soluções para uma classe de problemas críticos via categoria de Lusternik-Schnireman." Universidade Federal de Campina Grande, 2010. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1224.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T13:50:44Z No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5)<br>Made available in DSpace on 2018-07-24T13:50:44Z (GMT). No. of bitstreams: 1 JÉSSYCA LANGE FERREIRA MELO - DISSERTAÇÃO PPGMAT 2010..pdf: 549809 bytes, checksum: d97e157afe502f81bdc9beda3a5c1489 (MD5) Previous issue date: 2010-02<br>CNPq<br>Para visualizar o resumo recomendamos do download do arquivo uma vez que o mesmo utiliza formulas ou equações matemáticas que n
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Thiercelin-Panais, Jean-Marc. "L. S. Catégorie d'un espace R-modéré." Lille 1, 1997. http://www.theses.fr/1997LIL10086.

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A partir de l'algebre des cochaines singulieres de l'espace x a coefficients dans un anneau principal r, nous definissons les invariants mcat(x;r) et acat(x;r) en generalisant les definitions donnees par s. Halperin et j. M. Lemaire. Lorsque l'homologie de l'espace des lacets sur r est r-libre, l'espace x admet un modele minimal decomposable commutatif qui joue le role du modele de sullivan lorsque r = q. En mimant les definitions rationnelles nous introduisons les invariants m#ccat et a#ccat. Nous demontrons alors que pour un cw complexe r-modere, au sens de d. Anick, tel que l'homologie de l
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Books on the topic "Lusternik"

1

Cornea, O., G. Lupton, J. Oprea, and D. Tanré, eds. Lusternik-Schnirelmann Category and Related Topics. American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/316.

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Jessup, Barry. Rational Lusternik-Schnirelmann category and a conjecture of Ganea. [s.n.], 1987.

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AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium (2001 Mount Holyoke College). Lusternik-Schnirelmann category and related topics: 2001 AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium, July 29-August 2, 2001, Mount Holyoke College, South Hadley, Massachusetts. Edited by Cornea O. 1966-. American Mathematical Society, 2002.

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Wajs, Joanna. Sprzedawcy kieszonkowych lusterek. Zielona Sowa, 2004.

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Wajs, Joanna. Sprzedawcy kieszonkowych lusterek. Wydawnictwo "Zielona Sowa", 2005.

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1966-, Cornea O., ed. Lusternik-Schnirelmann category. American Mathematical Society, 2003.

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Jessup, Barry John. Rational Lusternik-Schnirelmann category and a conjecture of Ganea. 1987.

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Lusternik-Schnirelmann Category and Related Topics: 2001 Ams-Ims-Siam Joint Summer Research Conference on Lusternik-Schnierlmann Category in the New Millennium, ... Mount Holyoke (Contemporary Mathematics). American Mathematical Society, 2002.

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Book chapters on the topic "Lusternik"

1

Fonda, Alessandro. "Lusternik–Schnirelmann Theory." In Birkhäuser Advanced Texts Basler Lehrbücher. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47090-0_9.

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "Lusternik-Schnirelmann category." In Graduate Texts in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_28.

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Lemaire, Jean-Michel. "Lusternik — Schnirelmann category: An introduction." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075466.

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Scheerer, Hans, and Daniel Tanré. "Kaleidoscoping Lusternik-Schnirelmann category type invariants." In Cohomological Methods in Homotopy Theory. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8312-2_24.

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Montejano, Luis. "Geometric category and Lusternik-Schnirelmann category." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0081427.

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Lehtonen, Ari. "Lusternik-Schnirelmann Critical Values and Bifurcation Problems." In Bifurcation: Analysis, Algorithms, Applications. Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-7241-6_20.

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Cardin, Franco. "Notes on Lusternik-Schnirelman and Morse Theories." In Lecture Notes of the Unione Matematica Italiana. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11026-4_7.

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Murillo, Aniceto, and Antonio Viruel. "Lusternik-Schnirelmann cocategory: A Whitehead dual approach." In Cohomological Methods in Homotopy Theory. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8312-2_20.

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Farber, Michael. "Lusternik-Schnirelman theory, closed 1-forms, and dynamics." In Mathematical Surveys and Monographs. American Mathematical Society, 2004. http://dx.doi.org/10.1090/surv/108/10.

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Alsulami, Samirah, Hellen Colman, and Frank Neumann. "The Lusternik-Schnirelmann Category for a Differentiable Stack." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46310-0_1.

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Conference papers on the topic "Lusternik"

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LANGEVIN, REMI, and PAWEŁ G. WALCZAK. "TRANSVERSE LUSTERNIK-SCHNIRELMANN CATEGORY AND NON-PROPER LEAVES." In Proceedings of the Euroworkshop. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778246_0017.

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Mimura, Mamoru, and Kei Sugata. "On the Lusternik–Schnirelmann category of symmetric spaces of classical type." In Groups, homotopy and configuration spaces, in honour of Fred Cohen's 60th birthday. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.13.323.

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Reports on the topic "Lusternik"

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Oprea, John Oprea. Aspects of Lusternik-Schnirelmann Category. GIQ, 2015. http://dx.doi.org/10.7546/giq-16-2015-13-35.

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Oprea, John. Applications of Lusternik-Schnirelmann Category and its Generalizations. Jgsp, 2014. http://dx.doi.org/10.7546/jgsp-36-2014-59-97.

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Diver, R., S. Jones, S. Robb, and A. Mahoney. The lustering of TBC-2. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/72940.

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Houser, R., and J. Strachan. Optical performance of the TBC-2 solar collector before and after the 1993 mirror lustering. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/41349.

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You might also be interested in the extended bibliographies on the topic 'Lusternik' for particular source types:
Journal articles Dissertations / Theses
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