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Basic Topology pp 195-212 | Cite as

Degree and Lefschetz Number

  • M. A. Armstrong
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The whole of this chapter will be devoted to applications of homology theory. We start by defining the ‘degree’ of a map from the n-sphere to itself, a concept due to Brouwer which allows one to decide whether or not two such maps are homotopic.

Keywords

Homology Group Euler Characteristic Compact Hausdorff Space Antipodal Point Basic Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • M. A. Armstrong
    • 1
  1. 1.Department of MathematicsUniversity of DurhamDurhamEngland

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