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Cover: 9781108837989 | Elements of ∞-Category Theory | Emily Riehl (u. a.) | Buch
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Elements of ∞-Category Theory
Buch von Emily Riehl (u. a.)
Sprache: Englisch

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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.
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.
Über den Autor
Emily Riehl is an associate professor of mathematics at Johns Hopkins University. She received her PhD from the University of Chicago and was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University. She is the author of Categorical Homotopy Theory (Cambridge, 2014) and Category Theory in Context (2016), and a co-author of Fat Chance: Probability from 0 to 1 (Cambridge, 2019). She and her present co-author have published ten articles over the course of the past decade that develop the new mathematics appearing in this book.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9781108837989
ISBN-10: 1108837980
Sprache: Englisch
Einband: Gebunden
Autor: Riehl, Emily
Verity, Dominic
Hersteller: Cambridge University Press
Maße: 232 x 159 x 46 mm
Von/Mit: Emily Riehl (u. a.)
Erscheinungsdatum: 10.02.2022
Gewicht: 1,22 kg
Artikel-ID: 120413811
Über den Autor
Emily Riehl is an associate professor of mathematics at Johns Hopkins University. She received her PhD from the University of Chicago and was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University. She is the author of Categorical Homotopy Theory (Cambridge, 2014) and Category Theory in Context (2016), and a co-author of Fat Chance: Probability from 0 to 1 (Cambridge, 2019). She and her present co-author have published ten articles over the course of the past decade that develop the new mathematics appearing in this book.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9781108837989
ISBN-10: 1108837980
Sprache: Englisch
Einband: Gebunden
Autor: Riehl, Emily
Verity, Dominic
Hersteller: Cambridge University Press
Maße: 232 x 159 x 46 mm
Von/Mit: Emily Riehl (u. a.)
Erscheinungsdatum: 10.02.2022
Gewicht: 1,22 kg
Artikel-ID: 120413811
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