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 V-space]] and 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) |
Revision as of 14:20, 18 December 2016
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)
How to Cite This Entry:
Fréchet space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fr%C3%A9chet_space&oldid=40052
Fréchet space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fr%C3%A9chet_space&oldid=40052