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Fixed Points and the Lefschetz Number

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2032)

Abstract

In Chap. 9 we studied fixed point sets of group actions. Now we turn our attention to fixed point sets of continuous maps between finite spaces and their relationship with the fixed point sets of the associated simplicial maps. We analyze well-known results on the fixed point theory of finite posets from the perspective of finite spaces.

Keywords

  • Topological Space
  • Simplicial Complex
  • Point Property
  • Lefschetz Number
  • Finite Space

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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© 2011 Springer-Verlag Berlin Heidelberg

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Barmak, J.A. (2011). Fixed Points and the Lefschetz Number. In: Algebraic Topology of Finite Topological Spaces and Applications. Lecture Notes in Mathematics(), vol 2032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22003-6_10

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