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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New. Trade paperback (US). Glued binding. 168 p. Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge, 35. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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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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As New. Textbook Pre owned but very newish; owner's name 2X, DJAckson; inside 168 pages, all new all clean; outside has handsome (no wear) yellow linen hard covers; I ship daily at 0900 CT IL USA;
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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.
