Relevant bibliographies by topics / Limits and colimits

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Limits and colimits'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Limits and colimits"

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COCKETT, ROBIN, and STEPHEN LACK. "Restriction categories III: colimits, partial limits and extensivity." Mathematical Structures in Computer Science 17, no. 4 (2007): 775–817. http://dx.doi.org/10.1017/s0960129507006056.

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A restriction category is an abstract formulation for a category of partial maps, defined in terms of certain specified idempotents called the restriction idempotents. All categories of partial maps are restriction categories; conversely, a restriction category is a category of partial maps if and only if the restriction idempotents split. Restriction categories facilitate reasoning about partial maps as they have a purely algebraic formulation.In this paper we consider colimits and limits in restriction categories. As the notion of restriction category is not self-dual, we should not expect c
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Khoshkam, M., and J. Tavakoli. "Categorical constructions in C*-algebra theory." Journal of the Australian Mathematical Society 73, no. 1 (2002): 97–114. http://dx.doi.org/10.1017/s1446788700008491.

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AbstractThe notions of limits and colimits are studied in the category of C*-algebras. It is shown that limits and colimits of diagrams of C*-algebras are stable under tensor product by a fixed C*-algebra, and crossed product by a locally compact group.
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Porst, Hans-E. "Limits and colimits of Hopf algebras." Journal of Algebra 328, no. 1 (2011): 254–67. http://dx.doi.org/10.1016/j.jalgebra.2010.10.014.

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Adámek, Jiří, and Jiří Rosický. "Finitary sketches and finitely accessible categories." Mathematical Structures in Computer Science 5, no. 3 (1995): 315–22. http://dx.doi.org/10.1017/s0960129500000773.

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Every accessible category is proved to be sketchable by a sketch with finite colimits. In contrast, a finitely accessible category is presented that cannot be sketched by a finitary sketch, i.e., a sketch with finite limits and finite colimits. Also, a category sketchable by a finitary sketch is found that is not finitely accessible.
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Isaksen, Daniel C. "Calculating limits and colimits in pro-categories." Fundamenta Mathematicae 175, no. 2 (2002): 175–94. http://dx.doi.org/10.4064/fm175-2-7.

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Vokřínek, Lukáš. "Pushouts of Categories, Derived Limits, and Colimits." Communications in Algebra 44, no. 5 (2016): 2110–17. http://dx.doi.org/10.1080/00927872.2015.1033718.

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Saengsura, K. "LIMITS AND COLIMITS OF (F_1, F_2)-SYSTEMS." Far East Journal of Mathematical Sciences (FJMS) 102, no. 11 (2017): 2845–60. http://dx.doi.org/10.17654/ms102112845.

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Chollet, Emma, Bryce Clarke, Michael Johnson, Maurine Songa, Vincent Wang, and Gioele Zardini. "Limits and Colimits in a Category of Lenses." Electronic Proceedings in Theoretical Computer Science 372 (November 1, 2022): 164–77. http://dx.doi.org/10.4204/eptcs.372.12.

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Solovyov, Sergey A. "On limits and colimits of variety-based topological systems." Fuzzy Sets and Systems 178, no. 1 (2011): 54–73. http://dx.doi.org/10.1016/j.fss.2011.04.002.

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HÉBERT, M., and J. ROSICKÝ. "UNCOUNTABLE ORTHOGONALITY IS A CLOSURE PROPERTY." Bulletin of the London Mathematical Society 33, no. 6 (2001): 685–88. http://dx.doi.org/10.1112/s0024609301008451.

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It is shown that, for λ > ω, λ-orthogonality classes in locally λ-presentable categories coincide with full subcategories that are closed under limits and under λ-directed colimits. This comes as a surprise, since the statement is known to be false for λ = ω.
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Dissertations / Theses on the topic "Limits and colimits"

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Irwin, Trevor L. "Fraïssé limits and colimits with applications to continua." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3297082.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2007.<br>Title from dissertation home page (viewed Sept. 26, 2008). Source: Dissertation Abstracts International, Volume: 69-02, Section: B, page: 1042. Adviser: Slawomir Solecki.
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Zanchetta, Ferdinando. "Limiti e colimiti nella teoria delle categorie." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5590/.

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Προτσώνης, Γρηγόρης. "Διατήρηση κλάσεων πεπερασμένων ορίων από αριστερές επεκτάσεις Kan". Thesis, 2012. http://hdl.handle.net/10889/5420.

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Mελετάμε το πρόβλημα της διατήρησης κάποιας κλάσης πεπερασμένων ορίων από την αριστερή επέκταση Kan ενός συναρτητή. Παρουσιάζουμε αρχικά την περίπτωση για συναρτητές που λαμβάνουν τιμές στην κατηγορία των συνόλων. Η περίπτωση αυτή έχει μελετηθεί στην βιβλιογραφια, και ο χαρακτηρισμός τέτοιων επεκτάσεων Kan έχει να κάνει με την έννοια της επιπεδότητας του συναρτητή. Παρατηρώντας ότι η έννοια της επιπεδότητας μπορεί να ερμηνευτεί (με όρους εσωτερικής λογικής) σε μία κατηγορία η οποία είναι εφοδιασμένη με μία τοπολογία Grothendieck, μελετάμε το πρόβλημα στην γενικότητά του. Καθοριστικό ρόλο
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Book chapters on the topic "Limits and colimits"

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Strom, Jeffrey. "Limits and colimits." In Graduate Studies in Mathematics. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/127/02.

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Agore, Ana. "Limits and Colimits." In A First Course in Category Theory. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-42899-9_2.

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Hilton, P. J. "Commuting limits with colimits." In Selecta. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61708-9_41.

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Strom, Jeffrey. "Homotopy limits and colimits." In Graduate Studies in Mathematics. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/127/06.

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Eckmann, Beno. "Commuting Limits with Colimits." In Springer Collected Works in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-37339-8_41.

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Land, Markus. "Limits, Colimits, and Quillen’s Theorem A." In Compact Textbooks in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61524-6_4.

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Vinh, Phan Cong. "Finite Limits and Colimits in Autonomic Systems." In Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29236-6_2.

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Makkai, Michael, and Robert Paré. "Chapter 5: Limits and colimits of accessible categories." In Contemporary Mathematics. American Mathematical Society, 1989. http://dx.doi.org/10.1090/conm/104/05.

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Makkai, Michael, and Robert Paré. "Chapter 6: Limits and colimits in accessible categories." In Contemporary Mathematics. American Mathematical Society, 1989. http://dx.doi.org/10.1090/conm/104/06.

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Dwyer, William, Philip Hirschhorn, Daniel Kan, and Jeffrey Smith. "Homotopy colimit and limit functors and homotopical ones." In Homotopy Limit Functors on Model Categories and Homotopical Categories. American Mathematical Society, 2005. http://dx.doi.org/10.1090/surv/113/08.

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Journal articles
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