Talk:Metrization theorem
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Not actually relevant to the page, but does anyone know if there is are similar theorems about when a topological space is homeomorphic to a manifold?
[edit] Submetrizablity
I am pretty sure that that the space is submetrizable means that it contains a metrizable subspace or the space is homeomorphic to such a space, but I couldn't find (by means of quick google search) a reference to back this. Does anyone confirm this? Without defining Submetrizablity we can't go deep into the metrizable problems in my opinion. -- Taku 03:40, 3 March 2007 (UTC) A space is called submetrizable if it has a weaker metrizable topology. The Sorgenfrey line is an example: the usual topology on R is a weaker and metrizable topology.Hennobrandsma 14:01, 2 June 2007 (UTC)
[edit] Separation Axioms
Most texts, Dugundji being an example, consider normality to be a stronger separation axiom than regularity, not weaker. But then this is normality as T4, and regularity as T3. Without some clarification in this article, it isn't clear what Urysohn actually said. Further, this article needs style editing--or is it just me who thinks articles on general topology should avoid sounding flippant? 198.54.202.102 (talk) —Preceding comment was added at 15:14, 3 June 2008 (UTC)
