Elements of ∞-Category Theory
ISBN-13:
9781108837989
Veröffentl:
2022
Erscheinungsdatum:
10.02.2022
Seiten:
770
Autor:
Emily Riehl
Gewicht:
1220 g
Format:
232x159x46 mm
Sprache:
Englisch
Beschreibung:
The language of -categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. This book develops a new, more accessible model-independent approach to the foundations of -category theory by studying the universe, or -cosmos, in which -categories live.
Part I. Basic ¿-Category Theory: 1. ¿-Cosmoi and their homotopy 2-categories; 2. Adjunctions, limits, and colimits I; 3. Comma ¿-categories; 4. Adjunctions, limits, and colimits II; 5. Fibrations and Yoneda's lemma; 6. Exotic ¿-cosmoi; Part II. The Calculus of Modules: 7. Two-sided fibrations and modules; 8. The calculus of modules; 9. Formal category theory in a virtual equipment; Part III. Model Independence: 10. Change-of-model functors; 11. Model independence; 12. Applications of model independence.
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