Talk:Finite topological space

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Why does it say that usually only infinite spaces are of interest? This is true perhaps in the field topology but hardly in the use of topological spaces(!). — Preceding unsigned comment added by 213.103.219.58 (talk) 19:31, 18 October 2011 (UTC)[reply]

Seems that sentence has been removed. 67.198.37.16 (talk) 21:32, 17 November 2023 (UTC)[reply]

What's the major industrial application of topological space or in social science?

219.151.145.173 (talk) 10:40, 19 June 2013 (UTC)[reply]

Assessment comment

The comment(s) below were originally left at Talk:Finite topological space/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

The sentence near the beginning of the article saying that only infinite topological spaces are interesting should be changed or removed. Finite topological spaces have many interesting and unusual applications to group theory, etc., when dealing with spaces that are not T₁.

Last edited at 01:22, 24 June 2008 (UTC). Substituted at 02:06, 5 May 2016 (UTC)

Seems that sentence has been removed. 67.198.37.16 (talk) 21:32, 17 November 2023 (UTC)[reply]

Topologies On Spaces With 4 Points

There is a list of inequivalent topologies on four unlabeled points in http://www.math.uchicago.edu/~may/MISC/FiniteSpaces.pdf Problem 3.3. It is also possible to independently verify that they are indeed topologies, they are not mutually equivalent modulo relabeling, and there should be only 33 of them. — Preceding unsigned comment added by Josh Liu (talk • contribs) 23:48, 24 September 2016 (UTC)[reply]

At this time, this article contains a list of these 33 inequivalent topologies on four points. 67.198.37.16 (talk) 21:34, 17 November 2023 (UTC)[reply]