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Abstract homotopy and simple homotomy theory

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Published by World Scientific in Singapore, London .
Written in English


Book details:

Edition Notes

StatementK. H. Kamps, T. Porter.
ContributionsPorter, T. 1947-
The Physical Object
Pagination462p. ;
Number of Pages462
ID Numbers
Open LibraryOL22327796M
ISBN 109810216025

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Abstract Homotopy and Simple Homotopy Theory, pp. (). 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 cylindBrand: World Scientific. Abstract Homotopy Theory: The Interaction of Category Theory and Homotopy theory A revised version of the article Timothy Porter Febru Abstract This article is an expanded version of notes for a series of lectures given at the Corso estivo Categorie e Topologia organised by the Gruppo Nazionale di Topologia del M.U.R.S.T. in.   Download PDF Abstract: This is an introduction to the study of abstract homotopy theory by means of model categories and $(\infty,1)$-categories. The only prerequisites are very basic general topology and abstract algebra. None categorical background is needed. The final objective is to show that classical homotopy theory for topological spaces can be more naturally understood in .

Buy Abstract Homotopy and Simple Homotomy Theory by Kamps, K H, Porter, T (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. Abstract homotopy theory Michael Shulman March 6, 1/52 Homotopy theory Switching gears Today will be almost all classical mathematics, in set theory or whatever foundation you prefer. Slogan Homotopy theoryis the study of 1-categories whose objects are not just “set-like” but contain paths and higher paths. 3/ Eckmann-Siebenmann abstract simple homotopy theory 3. Generation of simple homotopy equivalences 4. The mapping cylinder calculus VII. Injective simple homotopy theories 1. Simple equivalences in injective simple homotopy theory 2. The group E(X) 3. Examples 4. Finitely generated relatively injective Z [^-modules Cech, introduction of abstract homotopy groups, Hurewicz, higher homotopy groups and homotopy equivalence, Eilenberg and obstruction theory, Isabel Vogt A (Brief) History of Homotopy Theory.

Abstract Homotopy And Simple Homotopy Theory (Hardback) K. H. Kamps, Timothy Porter Published by World Scientific Publishing Co Pte Ltd, Singapore (). DOI: / Corpus ID: Abstract homotopy and simple homotopy theory @inproceedings{KampsAbstractHA, title={Abstract homotopy and simple homotopy theory}, author={K. Kamps and T. Porter}, year={} }. Print book: EnglishView all editions and formats Summary: Discusses abstract homotopy theory, which is based on the observation that analogues of much of topological homotopy theory and simple homotopy theory exist in many other categories, such as spaces over a fixed base, groupoids, chain complexes and module categories. Abstract homotopy and simple homotopy theory. [Klaus Heiner Kamps; T Porter] -- 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.