Autor: Emily Riehl , Dominic Verity
Wydawca: Cambridge University Press
Dostępność: 3-6 tygodni
Cena: 372,75 zł
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ISBN13: |
9781108837989 |
ISBN10: |
1108837980 |
Autor: |
Emily Riehl , Dominic Verity |
Oprawa: |
Hardback |
Rok Wydania: |
2022-02-10 |
Ilość stron: |
770 |
Wymiary: |
228 x 152 mm |
Tematy: |
Topology |
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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