# An introduction to homotopy theory.

Material type: TextSeries: Cambridge tracts in mathematics, 43Publication details: Cambridge: Cambridge University Press, 1953Description: 142 pages: illustrationsISBN: 9780521052658; 0521052653 Subject(s): Homotopy theoryDDC classification: 514.24Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Lending Books | Main Library Stacks | Reference | 514.24 HIL (Browse shelf(Opens below)) | Available | 007968 |

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514 TOP Topological Dynamics: An International Symposium | 514 WIL General Topology | 514.2 GRE Algebraic Topology: A First Course | 514.24 HIL An introduction to homotopy theory. | 514.3 AGG A Text Book of Metric Spaces | 514.3 KEL General topology | 514.322 JOS Introduction to General Topology |

Includes Bibliography, Glossary & Index

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.

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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