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Basic Topological Properties of Finite Spaces

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

Abstract

In this chapter we present some results concerning elementary topological aspects of finite spaces. The proofs use basic elements of Algebraic Topology and have a strong combinatorial flavour. We study further homotopical properties including classical homotopy invariants and finite analogues of well-known topological constructions.

Keywords

  • Fundamental Group
  • Simplicial Complex
  • Euler Characteristic
  • Homotopy Type
  • Hasse Diagram

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). Basic Topological Properties of Finite Spaces. 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_2

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