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 ...
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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 category of fractions of the category of topological spaces modulo homotopy, and to the category of Kan complexes modulo homotopy (IV). In order to define our homotopic category, it appears useful to follow as closely as possible methods which have proved efficacious in homo- logical algebra. Our category is thus the" topological" analogue of the derived category of an abelian category (VERDIER). The algebraic machinery upon which this work is essentially based includes the usual grounding in category theory - summarized in the Dictionary - and the theory of categories of fractions which forms the subject of the first chapter of the book. The merely topological machinery reduces to a few properties of Kelley spaces (Chapters I and III). The starting point of our study is the category,10 Iff of simplicial sets (C.S.S. complexes or semi-simplicial sets in a former terminology).
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Fair with No dust jacket as issued. 3540037772. Some wear to covers, names on inside front cover, pen and pencil on a few pages, otherwise solid, reading condition; no dust jacket; Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge; 8vo 8"-9" tall; 168 pages.
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First edition, first printing, 168 pp., Hardcover, very good. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 450grams, ISBN:
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Very Good. No Jacket. 8 x 5.5 x.7. Hardcover. Book Condition: Very Good. Jacket Condition: No Jacket. Springer-Verlag, New York, NY 1967. 168 pages. Nice Firm Clean copy! Light general wear. Size: 8 x 5.5 x.7. Science/Nature: Mathematics 6061.
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Good. Springer Verlag, 1967. Cover lightly sunned with sticker on front, corners and spine ends very lightly bumped/rubbed; edges very lightly soiled; binding tight; cover, edges, and interior intact and clean except as noted. hardcover. Good.
