• Sign In / Register
  • Help
  • Basket0
Calculus of Fractions and Homotopy Theory - Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge 35 (Paperback)
  • Calculus of Fractions and Homotopy Theory - Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge 35 (Paperback)
zoom

Calculus of Fractions and Homotopy Theory - Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge 35 (Paperback)

(author), (author)
£64.99
Paperback 168 Pages / Published: 05/05/2012
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
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).

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783642858468
Number of pages: 168
Weight: 284 g
Dimensions: 235 x 155 x 10 mm
Edition: Softcover reprint of the original 1st ed. 196

You may also be interested in...

Flatland
Added to basket
£9.99
Paperback
Metric Spaces
Added to basket
Introduction to Topology
Added to basket
Knot Theory and Its Applications
Added to basket
Essential Topology
Added to basket
A Combinatorial Introduction to Topology
Added to basket
Topos Theory
Added to basket
£17.99
Paperback
Fractals: A Very Short Introduction
Added to basket
Introduction to Smooth Manifolds
Added to basket
Riemann Surfaces
Added to basket
Algebraic Topology
Added to basket
£29.99
Paperback
Schaums Outline of General Topology
Added to basket
An Introduction to Knot Theory
Added to basket
Knots
Added to basket
£16.95
Paperback

Reviews

Please sign in to write a review

Your review has been submitted successfully.