An Introduction to Homotopy Theory (Cambridge Tracts in Mathematics, Series Number 43) (Volume 0) - Softcover

Hilton, P. J.

Softcover

ISBN 10: 0521052653 ISBN 13: 9780521052658

Publisher: Cambridge University Press, 1953

Synopsis

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.

About this title

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1953
• Language: English
• ISBN 10: 0521052653
• ISBN 13: 9780521052658
• Binding: Paperback
• Number of pages: 156