Difference between revisions of "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–Urysohn space]]. Would it be appropriate to create a page [[Fréchet space (disambiguation)]]? [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) | + | 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)]]? [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 15:20, 18 December 2016 (CET) |
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| + | :I am in doubt, because applicability of the idea of disambiguation page in EoM was discussed [[Talk:EoM:This_project#Preferred_style|here]], and opinions differed. [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 16:30, 18 December 2016 (CET) | ||
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| + | ::Any alternative suggestions? [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 16:49, 18 December 2016 (CET) | ||
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| + | :::I'd like to know the opinion of Ulf. [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 20:54, 18 December 2016 (CET) | ||
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| + | ::::Any progress on this question? [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 19:02, 17 December 2017 (CET) | ||
Latest revision as of 18:02, 17 December 2017
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=40049
Fréchet space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fr%C3%A9chet_space&oldid=40049