Introduction to Homotopy Theory by P. J. Hilton
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Introduction to Homotopy Theory
By P. J. Hilton

An Introduction to Homotopy Theory

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Format: Paperback

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Introduction to Homotopy Theory by P. J. Hilton

Book Description

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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Book Details

ISBN: 9780521052658
ISBN-10: 0521052653
Format: Paperback
(216mm x 140mm x 9mm)
Pages: 156
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 1-Jan-1953
Country of Publication: United Kingdom

Books By Author P. J. Hilton

Course in Modern Algebra by P. J. Hilton Course in Modern Algebra, Paperback (April 1989)

In this text the authors take the reader from the elements of linear algebra past the frontier of homological algebra. They describe different algebraic domains and then emphasize the similarities and differences between them, employing the terminology of categories and functors.

General Cohomology Theory and K-Theory by P. J. Hilton General Cohomology Theory and K-Theory, Paperback (February 1971)

These notes constitute a faithful record of a short course of lectures given in Sao Paulo, Brazil, in the summer of 1968.

Homology Theory by P. J. Hilton Homology Theory, Paperback (January 1968)

This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject.

» View all books by P. J. Hilton

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