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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Preliminaries
verfasst von : Jonathan A. Barmak
Erschienen in: Algebraic Topology of Finite Topological Spaces and Applications
Verlag: Springer Berlin Heidelberg
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In this chapter we will state some of the most important results on finite spaces which are previous to our work. These results can be summarized by the following three items: 1. The correspondence between finite topological spaces and finite partially ordered sets, first considered by Alexandroff in [1] in 1937. The combinatorial description of homotopy types of finite spaces, discovered by Stong in his beautiful article [76] of 1966. 3. The connection between finite spaces and polyhedra, found by McCord [55] also in 1966.