# Talk:Fréchet space

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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)