An Introduction to Homotopy Theory

Author:   P. J. Hilton
Publisher:   Cambridge University Press
Volume:   43
ISBN:  

9780511666278


Publication Date:   05 February 2015
Format:   Undefined
Availability:   In stock   Availability explained
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An Introduction to Homotopy Theory


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Overview

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers. The first six chapters describe the essential ideas of homotopy theory: homotopy groups, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters discuss J. H. C. Whitehead's cell-complexes and their application to homotopy groups of complexes.

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Author:   P. J. Hilton
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   43
ISBN:  

9780511666278


ISBN 10:   0511666276
Publication Date:   05 February 2015
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Undefined
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. Introduction; 2. The homotopy groups; 3. The classical theorems of homotopy theory; 4. The exact homotopy sequence; 5. Fibre-Spaces; 6. The Hopf invariant and suspension theorems; 7. Whitehead cell-complexes; 8. Homotopy groups of complexes.

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