Basic Topology pp 195-212 | Cite as

Degree and Lefschetz Number

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


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.


Homology Group Euler Characteristic Compact Hausdorff Space Antipodal Point Basic Topology 
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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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