Infinity Categories

Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6877

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DC Field	Value	Language
dc.contributor.advisor	HOGADI, AMIT	en_US
dc.contributor.author	MAITY, DIPANKAR	en_US
dc.date.accessioned	2022-05-12T10:19:26Z	-
dc.date.available	2022-05-12T10:19:26Z	-
dc.date.issued	2022-05	-
dc.identifier.citation	89	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6877	-
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.subject	Joyal Model Structure	en_US
dc.subject	Quasicategories	en_US
dc.subject	Higher Categories	en_US
dc.subject	Infinity Categories	en_US
dc.title	Infinity Categories	en_US
dc.type	Thesis	en_US
dc.type.degree	BS-MS	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.contributor.registration	20171064	en_US
Appears in Collections:	MS THESES

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