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# Abstract homotopy and simple homotomy theory

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Written in English

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Edition Notes

The Physical Object ID Numbers Statement K. H. Kamps, T. Porter. Contributions Porter, T. 1947- Pagination 462p. ; Number of Pages 462 Open Library OL22327796M ISBN 10 9810216025

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 .