Talk:General topology/Archive 1

Archive 1

Dimension

Strangely enough, dimension is not mentioned; see Inductive dimension and Lebesgue covering dimension. Boris Tsirelson (talk) 07:38, 25 July 2009 (UTC)

Rename to point set topology?

I find the title General topology confusing, as it gives the impression this could be a general page on topology which is really Topology. --Salix alba (talk) 07:47, 17 July 2006 (UTC)

• I don't think so. First of all, this name is used commonly. And, secondly, whoever is interested in the topology article, rather than this one, can get there via the wikilink in the first sentence. --Kompik 15:38, 10 April 2007 (UTC)

General topology undermines numerous areas within mathematics: point-set topology, set-theoretic topology, continuum theory, topological dynamics, metrizability theory, topological algebra et cetera. --PST 08:53, 1 November 2009 (UTC)

Untitled

I think set-theoretic topology deserves its own page. It is really distinct from general topology, in that it focuses on the results about topological spaces depending on set theoretic issues, whereas general topology seems to me to imply general topological concepts used everywhere (including set-theoretic, algebraic, differential topology, etc.) Revolver 11:50, 17 May 2005 (UTC)

In the beginning of the article it is stated that general topology is the same as point-set topology. But it is wrong because there is also pointless topology which also pertains to general topology. —Preceding unsigned comment added by Porton (talk • contribs) 18:16, 4 September 2007 (UTC)

This article is wrong. It says that General Topology is study of topological spaces, but General Topology also studies uniform spaces and proximity spaces. —Preceding unsigned comment added by Porton (talk • contribs) 16:03, 23 September 2007 (UTC)

Both which you mention are topological spaces. General topology is the study of topological spaces (a rather broad definition) and more specifically, the study of axioms that one can impose on them.--PST 10:21, 2 June 2009 (UTC)

Topological spaces is a term, not any space related to topology. A proximity space is not a topological space. (However it induces a topological space.) So the article is indeed wrong. VictorPorton (talk) 13:23, 25 May 2011 (UTC)

Also linear topological spaces, metric spaces, Banach and Hilbert spaces, Euclidean and non-Euclidean spaces, projective spaces etc., all are topological spaces; should they all be investigated by general topology? Boris Tsirelson (talk) 07:46, 25 July 2009 (UTC)