An Introduction to Homotopy Theory Contributor(s): Hilton, P. J. (Author) |
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ISBN: 0511666276 ISBN-13: 9780511666278 Publisher: Cambridge University Press OUR PRICE: $140.25 Product Type: Open Ebook - Other Formats Published: February 2015 |
Additional Information |
BISAC Categories: - Mathematics | Topology - General |
Dewey: 514.24 |
Series: Cambridge Tracts in Mathematics |
Descriptions, Reviews, Etc. |
Publisher 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. |