# Talk:Fréchet space

From Encyclopedia of Mathematics

## Ambiguity

There are at least two other possible meaning of "Fréchet space". One is as a synonym for T1 space, and the other is the specific space of real sequences with the Fréchet metric $d((x_i),(y_i)) = \sum_i 2^{-i} |x_i-y_i|/(1+|x_i-y_i|)$: both these latter are mentioned in Steen and Seebach's, *Counterexamples in Topology* (2 ed.). One also has the concept of a Fréchet V-space and of a Fréchet–Urysohn space, the latter concept being stated to be synonymous with Fréchet space in Hart et al *Encyclopedia of General Topology*. Would it be appropriate to create a page Fréchet space (disambiguation)? Richard Pinch (talk) 15:20, 18 December 2016 (CET)

- I am in doubt, because applicability of the idea of disambiguation page in EoM was discussed here, and opinions differed. Boris Tsirelson (talk) 16:30, 18 December 2016 (CET)

- Any alternative suggestions? Richard Pinch (talk) 16:49, 18 December 2016 (CET)

- I'd like to know the opinion of Ulf. Boris Tsirelson (talk) 20:54, 18 December 2016 (CET)

- Any progress on this question? Richard Pinch (talk) 19:02, 17 December 2017 (CET)

**How to Cite This Entry:**

Fréchet space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Fr%C3%A9chet_space&oldid=42548