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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6877| Title: | Infinity Categories |
| Authors: | HOGADI, AMIT MAITY, DIPANKAR Dept. of Mathematics 20171064 |
| Keywords: | Joyal Model Structure Quasicategories Higher Categories Infinity Categories |
| Issue Date: | May-2022 |
| Citation: | 89 |
| Abstract: | This text attempts to review and understand the fundamentals of ∞-categories via weak Kan complexes. We develop to some extent the construction of ∞ homs. We find a way to deal with 1-morphisms and equivalences and form the ∞-category of all ∞-categories. Finally we present J-model structure on simplicial sets, which represents ∞-categories as fibrant objects. At the end we briefly touch upon further concepts which are possible to be constructed in the theory, in correspondence with ordinary category theory. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6877 |
| Appears in Collections: | MS THESES |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Infinity_Categories.pdf | Main article | 688.8 kB | Adobe PDF | View/Open Request a copy |
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