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| | Subject: Re: regular 2nd countable spaces Date: Fri, 3 Aug 2001 16:10:11 -0500 Newsgroups: sci.math I am accustomed to T_2.5 meaning completely Hausdorff or **Urysohn** in the stronger sense, viz., for any two points p != q there is a continuous function into [0,1] with f(p) = 0 and f(q) = 1. |

| | (But I've also seen '**Urysohn** space' used in > > a stronger sense.) > I am accustomed to T_2.5 meaning completely Hausdorff or **Urysohn** in the > stronger sense, viz., for any two points p != q there is a continuous > function into [0,1] with f(p) = 0 and f(q) = 1. |

| | Yes, I think I got 'completely Hausdorff' and '**Urysohn**' mixed up - '**Urysohn**' is usually used in the weaker sense and 'completely Hausdorff' in the stronger sense (although I've seen them the other way around too). |

| www.math.niu.edu /~rusin/known-math/01_incoming/T_n (430 words) |