Calculus of fractions and homotopy theory


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The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo- topic category (IV). This category is, in fact, - according to Chapter VII and a well-known theorem of J. H. C. WHITEHEAD - equivalent to the category of CW-complexes modulo homotopy, i.e. the category whose objects are spaces of the homotopy type of a CW-complex and whose morphisms are homotopy classes of continuous mappings between such spaces. It is also equivalent (I, 1.3) to a ...

Calculus of Fractions and Homotopy Theory 2012, Springer

ISBN-13: 9783642858468

Softcover Reprint of the Origi edition

Trade paperback

Calculus of Fractions and Homotopy Theory 1967, Springer

ISBN-13: 9780387037776