Julia E. Bergner - Böcker
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3 produkter
3 produkter
Del 90 - London Mathematical Society Student Texts
The Homotopy Theory of (∞,1)-Categories
Inbunden, Engelska, 2018
1 456 kr
Skickas inom 7-10 vardagar
The notion of an (∞,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theory. This book provides a relatively self-contained source of the definitions of the different models, the model structure (homotopy theory) of each, and the equivalences between the models. While most of the current literature focusses on how to extend category theory in this context, and centers in particular on the quasi-category model, this book offers a balanced treatment of the appropriate model structures for simplicial categories, Segal categories, complete Segal spaces, quasi-categories, and relative categories, all from a homotopy-theoretic perspective. Introductory chapters provide background in both homotopy and category theory and contain many references to the literature, thus making the book accessible to graduates and to researchers in related areas.
Del 90 - London Mathematical Society Student Texts
The Homotopy Theory of (∞,1)-Categories
Häftad, Engelska, 2018
485 kr
Skickas inom 7-10 vardagar
The notion of an (∞,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theory. This book provides a relatively self-contained source of the definitions of the different models, the model structure (homotopy theory) of each, and the equivalences between the models. While most of the current literature focusses on how to extend category theory in this context, and centers in particular on the quasi-category model, this book offers a balanced treatment of the appropriate model structures for simplicial categories, Segal categories, complete Segal spaces, quasi-categories, and relative categories, all from a homotopy-theoretic perspective. Introductory chapters provide background in both homotopy and category theory and contain many references to the literature, thus making the book accessible to graduates and to researchers in related areas.
- Nyhet
1 692 kr
Kommande
This volume contains the proceedings of the Workshop on Higher Segal Spaces and their Applications to Algebraic $K$-Theory, Hall Algebras, and Combinatorics, held from January 21 to 26, 2024, at the Banff International Research Station, Banff (AB), Canada. This book is a collection of ten expository papers providing an introduction to the theory and applications of higher Segal spaces, a rather new topic in the interface between homotopy theory and higher category theory, finding applications in homological algebra, representation theory, geometry, combinatorics, algebraic $K$-theory, and other areas. The papers are written by experts on the various topics, in an engaging style welcoming newcomers to the field, and are also designed to help specialists in one application area make the transition to another.