Name: From Categories to Homotopy Theory: 188 (Cambridge Studies in Advanced Mathematics, Series Number 188) (en Inglés)
Price: 80360.00 CLP
Availability: InStock
Author: Richter, Birgit
ISBN: 9781108479622

portada From Categories to Homotopy Theory: 188 (Cambridge Studies in Advanced Mathematics, Series Number 188) (en Inglés)

Formato

Libro Físico

Autor

Birgit Richter

Editorial

Cambridge University Press

Año

2020

Idioma

Inglés

N° páginas

400

Encuadernación

Tapa Dura

Dimensiones

23.1 x 16.5 x 2.5 cm

Peso

0.64 kg.

ISBN13

9781108479622

N° edición

Categorías

Topología

From Categories to Homotopy Theory: 188 (Cambridge Studies in Advanced Mathematics, Series Number 188) (en Inglés)

Birgit Richter (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "From Categories to Homotopy Theory: 188 (Cambridge Studies in Advanced Mathematics, Series Number 188) (en Inglés)"

Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to make the subject accessible to graduate students or researchers with a background in algebraic topology and algebra. The reader is first introduced to category theory, starting with basic definitions and concepts before progressing to more advanced themes. Concrete examples and exercises illustrate the topics, ranging from colimits to constructions such as the Day convolution product. Part II covers important applications of category theory, giving a thorough introduction to simplicial objects including an account of quasi-categories and Segal sets. Diagram categories play a central role throughout the book, giving rise to models of iterated loop spaces, and feature prominently in functor homology and homology of small categories.