Categorical Homotopy Theory 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Emily Riehl 作者

Cambridge University Press

譯者

2014-5-26 出版日期

372 頁數

GBP 67.00 價格

Hardcover

New Mathematical Monographs 叢書系列

9781107048454 圖書編碼

Categorical Homotopy Theory 在線電子書圖書標籤: 數學範疇論 Mathematics Math

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發表於2025-01-09

Categorical Homotopy Theory 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2025

Categorical Homotopy Theory 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2025

Categorical Homotopy Theory 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Categorical Homotopy Theory 在線電子書著者簡介

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 在線電子書著者簡介

Categorical Homotopy Theory 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Categorical Homotopy Theory 在線電子書圖書描述

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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