1# Library to Find Best eBook for Read
Author : Stefan Schwede
Release : 2018-09-06
Genre : Mathematics
Kind : eBook
Book Rating : 81X/5 ( reviews)
Book Synopsis Global Homotopy Theory by : Stefan Schwede
Download or read book Global Homotopy Theory written by Stefan Schwede. This book was released on 2018-09-06. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.
Author : Emily Riehl
Release : 2014-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 633/5 ( reviews)
Book Synopsis Categorical Homotopy Theory by : Emily Riehl
Download or read book Categorical Homotopy Theory written by Emily Riehl. This book was released on 2014-05-26. Available in PDF, EPUB and Kindle. Book excerpt: 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. Emily 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.
Author : Christian Wimmer
Release : 2017
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Rational Global Homotopy Theory and Geometric Fixed Points by : Christian Wimmer
Download or read book Rational Global Homotopy Theory and Geometric Fixed Points written by Christian Wimmer. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Barnes
Release : 2020-03-26
Genre : Mathematics
Kind : eBook
Book Rating : 671/5 ( reviews)
Book Synopsis Foundations of Stable Homotopy Theory by : David Barnes
Download or read book Foundations of Stable Homotopy Theory written by David Barnes. This book was released on 2020-03-26. Available in PDF, EPUB and Kindle. Book excerpt: The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.
Author : Michael A. Hill
Release : 2021-07-29
Genre : Mathematics
Kind : eBook
Book Rating : 443/5 ( reviews)
Book Synopsis Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem by : Michael A. Hill
Download or read book Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem written by Michael A. Hill. This book was released on 2021-07-29. Available in PDF, EPUB and Kindle. Book excerpt: A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.
