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by William G Dwyer

Download Homotopy Limit Functors on Model Categories and Homotopical Categories (Mathematical Surveys and Monographs,) fb2, epub

ISBN: 0821837036
Author: William G Dwyer
Language: English
Publisher: American Mathematical Society(RI) (January 1, 2011)
Pages: 181
Category: Science & Mathematics
Subcategory: Other
Rating: 4.2
Votes: 283
Size Fb2: 1619 kb
Size ePub: 1389 kb
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Электронная книга "Homotopy Limit Functors on Model Categories and Homotopical Categories", William G. Dwyer

Электронная книга "Homotopy Limit Functors on Model Categories and Homotopical Categories", William G. Dwyer. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Homotopy Limit Functors on Model Categories and Homotopical Categories" для чтения в офлайн-режиме.

Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. Read instantly in your browser. ISBN-13: 978-0821839751. ISBN-13: 978-0821837030.

A homotopical category is a category with only a single distinguished . Homotopy colimit and limit functors and homotopical ones. 85. Homotopical Categories and Homotopical Functors.

A homotopical category is a category with only a single distinguished class of maps, called weak equivalences, subject to an appropriate axiom. This enables one to define & versions of such basic categorical notions as initial and terminal objects, colimit and limit functors, cocompleteness and completeness, adjunctions, Kan extensions, and universal properties. 89. Universes and categories.

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Model categories: An overview Model categories and their homotopy categories Quillen functors Homotopical cocompleteness and completeness of model categories Homotopical categories: Summary of part I. .

Model categories: An overview Model categories and their homotopy categories Quillen functors Homotopical cocompleteness and completeness of model categories Homotopical categories: Summary of part II Homotopical categories and homotopical functors Deformable functors and their approximations Homotopy colimit and limit functors and homotopical ones Index Bibliography. Mathematical Surveys and Monographs, vol. 63, Amer.

An overview Model categories and their homotopy categories Quillen functors Homotopical .

An overview Model categories and their homotopy categories Quillen functors Homotopical cocompleteness and completeness of model categories. Homotopical categories. Summary of part II Homotopical categories and homotopical functors Deformable functors and their approximations Homotopy colimit and limit functors and homotopical ones Index Bibliography.

on the theory of homotopical categories and model categories – a presentation of (∞,1)-categories – their simplicial y categories and derived functors such as homotopy limit functors. Bruno Kahn, Georges Maltsiniotis, Structures de Dérivabilité. Created on February 27, 2011 at 23:26:16.

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems

Mathematical Surveys and Monographs is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems. The series has been known as Mathematical Surveys and Monographs since 1984. Its ISSN is 0885-4653. The series was founded in 1943 as 'Mathematical Surveys'. Mathematical Surveys and Monographs.

Hovey, . Model categories, Mathematical Surveys and Monographs, vol. 63 (American Mathematical Society, Providence, RI, 1999), xii+209. ezk, . A model for the homotopy theory of homotopy theory, Trans. Soc. 353 (2001), 973–1007

Hovey, . 353 (2001), 973–1007. egal, . Categories and cohomology theories, Topology 13 (1974), 293–312. 1016/004383(74)90022-6. 1. homason, R. Homotopy colimits in the category of small categories, Math.

The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model category is a category together with three distinguished classes of maps, called weak equivalences, cofibrations, and fibrations. Model categories have become a standard tool in algebraic topology and homological algebra and, increasingly, in other fields where homotopy theoretic ideas are becoming important, such as algebraic notion of a homotopical category, which is more general than that of a model category, and to consider model categories as special cases of this. A homotopical category is a category with only a single distinguished class of maps, to define homotopical versions of such basic categorical notions as initial and terminal objects, colimit and limit functors, cocompleteness and completeness, adjunctions, Kan extensions, and universal properties. There are two essentially self-contained parts, and part II logically precedes part I. Part II defines and develops the notion of a homotopical category and can be considered as the beginnings of a kind of obtain a deeper understanding of model categories. The authors show in particular that model categories are homotopically cocomplete and complete in a sense stronger than just the requirement of the existence of small only some familiarity with the above-mentioned categorical notions. Those who read part I, and especially its introductory chapter, should also know something about model categories.

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