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Basic Topological Properties of Finite Spaces

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Algebraic Topology of Finite Topological Spaces and Applications

Part of the book series: Lecture Notes in Mathematics ((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.

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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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