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Elements of -Category Theory (Cambridge Studies in Advanced Mathematics, Series Number 194) free ebook download

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Mathematics

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Date:	2022	Format:	pdf	Language:	English	ISBN/ASIN:	1108837980
Pages:	781	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	3/14/2024 5:57:37 AM

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The language of ?-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ?-category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of ?-categories from first principles in a model-independent fashion using the axiomatic framework of an ?-cosmos, the universe in which ?-categories live as objects. An ?-cosmos is a fertile setting for the formal category theory of ?-categories, and in this way the foundational proofs in ?-category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.

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Elements of -Category Theory (Cambridge Studies in Advanced Mathematics, Series Number 194) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics