Categorical Homotopy Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Emily Riehl 作者

Cambridge University Press

译者

2014-5-26 出版日期

372 页数

GBP 67.00 价格

Hardcover

New Mathematical Monographs 丛书系列

9781107048454 图书编码

Categorical Homotopy Theory 在线电子书图书标签: 数学范畴论 Mathematics Math

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Categorical Homotopy Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Categorical Homotopy Theory 在线电子书著者简介

Emily Riehl is a Benjamin Peirce Fellow in the Department of Mathematics at Harvard University, Massachusetts and a National Science Foundation Mathematical Sciences Postdoctoral Research Fellow.

Categorical Homotopy Theory 在线电子书图书目录

Categorical Homotopy Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Categorical Homotopy Theory 在线电子书图书描述

This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.

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