http://netvouz.com/narky/tag/axioms?feed=rss narky's bookmarks tagged "axioms" on Netvouz http://http://en.wikipedia.org/wiki/Separation_axiom In topology and related fields of mathematics, there are several restrictions that one often makes on the kinds of topological spaces that one wishes to consider. Some of these restrictions are given by the separation axioms. These are sometimes called Tychonoff separation axioms, after Andrey Tychonoff. The separation axioms are axioms only in the sense that, when defining the notion of topological space, you could add these conditions as extra axioms to get a more restricted notion of what a topological space is. The modern approach is to fix once and for all the axiomatization of topological space and then speak of kinds of topological spaces. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Fri, 27 Apr 2007 04:22:26 GMT