Abstract Homotopy & Simple Homotopy the
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Book Overview The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy t...
The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g. spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space constructions, enables not only a unified development of many examples of known homotopy theories but also reveals the inner working of the classical spatial theory. This demonstrates the logical interdependence of properties (in particular the existence of certain Kan fillers in associated cubical sets) and results (Puppe sequences, Vogt's Iemma, Dold's theorem on fibre homotopy equivalences, and homotopy coherence theory).
Book Details Format: Hardcover | Pages: 462 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9810216025
FormatHardcover
Pages462
LanguageEnglish
ISBN9810216025
EAN9789810216023
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2001-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.72 Pounds
Length8.5 Inches
Width6.1 Inches
Height1.2 Inches
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