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
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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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DOI: https://doi.org/10.1007/978-3-642-22003-6_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22002-9
Online ISBN: 978-3-642-22003-6
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