Talk:Fréchet space

From Encyclopedia of Mathematics
Jump to: navigation, search


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: