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An Introduction to Homotopy Theory : Cambridge Tracts in Mathematics and Mathematical Physics - P. J. Hilton

An Introduction to Homotopy Theory

Cambridge Tracts in Mathematics and Mathematical Physics

Paperback

Published: 3rd March 1953
RRP $56.95
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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.

Introduction
The homotopy groups
The classical theorems of homotopy theory
The exact homotopy sequence
Fibre-Spaces
The Hopf invariant and suspension theorems
Whitehead cell-complexes
Homotopy groups of complexes
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521052658
ISBN-10: 0521052653
Series: Cambridge Tracts in Mathematics and Mathematical Physics
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 156
Published: 3rd March 1953
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 0.91
Weight (kg): 0.2