Talk:Separation axiom
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Note that an older version of this page existed at Separation axioms, but the page was completely redesigned for the move. There is old talk at Talk:Separation axioms, but this is largely irrelevant to the new page, so I haven't moved it. -- Toby 20:56 Aug 5, 2002 (PDT)
I removed both of the alternative definitions (one put in by me, one put in by Axel) in order to keep the emphasis on the relationships to various forms of separation -- what it is that joins all of these together as separation axioms. These alternative characterisations (and many more) may still be found on the axioms' individual pages. (I made it more clear before the definitions that this is so.) -- Toby Bartels 13:13 21 May 2003 (UTC)
I removed the word "continuous" from "separated by a function" in the section giving the definitions, since that word is not used in the introductory section on separation, nor in the phrase as defined on Separated sets. I'm not absolutely opposed to adding the word "continuous" throughout, although I would argue that it's unnecessary in a topological context (especially since, if you remove continuity from the definition given on Separated sets, the notion becomes trivial). -- Toby Bartels 23:45, 2005 Jan 31 (UTC)
Fully normal does not imply regular. On the other hand, for a Hausdorff space, full normality and paracompactness are equivalent. Manta 21:51, 19 December 2006 (UTC)
