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@article{2410581, author = {Bourke, John Denis and Lack, Stephen}, article_number = {9}, doi = {http://dx.doi.org/10.1016/j.jpaa.2024.107661}, keywords = {infinity-categories; accessible and locally presentable categories; Enriched categories; Homotopical algebra}, language = {eng}, issn = {0022-4049}, journal = {Journal of Pure and Applied Algebra}, title = {On 2-categorical infinity-cosmoi}, url = {https://www.sciencedirect.com/science/article/pii/S0022404924000586}, volume = {228}, year = {2024} }
TY - JOUR ID - 2410581 AU - Bourke, John Denis - Lack, Stephen PY - 2024 TI - On 2-categorical infinity-cosmoi JF - Journal of Pure and Applied Algebra VL - 228 IS - 9 SP - 1-26 EP - 1-26 PB - Elsevier B.V. SN - 00224049 KW - infinity-categories KW - accessible and locally presentable categories KW - Enriched categories KW - Homotopical algebra UR - https://www.sciencedirect.com/science/article/pii/S0022404924000586 N2 - Recently Riehl and Verity have introduced infinity-cosmoi, which are certain simplicially enriched categories with additional structure. In this paper we investigate those infinity-cosmoi which are in fact 2-categories; we shall refer to these as 2-cosmoi. We show that each 2-category with flexible limits gives rise to a 2-cosmos whose distinguished class of isofibrations consists of the normal isofibrations. Many examples arise in this way, and we show that such 2-cosmoi are minimal as Cauchycomplete 2-cosmoi. Finally, we investigate accessible 2-cosmoi and develop a few aspects of their basic theory. ER -
BOURKE, John Denis a Stephen LACK. On 2-categorical infinity-cosmoi. \textit{Journal of Pure and Applied Algebra}. Elsevier B.V., 2024, roč.~228, č.~9, s.~1-26. ISSN~0022-4049. Dostupné z: https://dx.doi.org/10.1016/j.jpaa.2024.107661.
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