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About: Finite topological space     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Space100028651, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatTopologicalSpacesyago:Abstraction100002137yago:Attribute100024264yago:MathematicalSpace108001685yago:Set107999699yago:Space100028651 New Facet based on Instances of this Class

In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space which has only finitely many elements. Finite topological spaces are often used to provide examples of interesting phenomena or counterexamples to plausible sounding conjectures. William Thurston has called the study of finite topologies in this sense "an oddball topic that canlend good insight to a variety of questions".