Urysohn area   (translated from German)
Urysohn area In that Topology and used areas that Mathematics are Urysohn area special topological areas , the certain pleasant ... V of y exist. X is in Urysohn area, if two different points each are ... Relations with the other separation axioms Each Urysohn area is in Hausdorff area and fulfills ... like also everyone complete Hausfdorff area an Urysohn area. Example In the following one ...
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Urysohn's lemma
Urysohn's lemma Urysohn's lemma in topology states that if ... The lemma is named after Pavel Samuilovich Urysohn, Proof sketch Illustration of Urysohn's "onion" function. For every dyadic fraction ... formalized and automatically checked a proof of Urysohn's lemma in the URYSOHN3 file.
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Pavel Samuilovich Urysohn
Pavel Samuilovich Urysohn Pavel Samuilovich Urysohn ( Па́вел Самуи́лович Урысо́н ) (February 3, 1898 - August ... in the theory of dimension, for developing Urysohn's Metrization Theorem and Urysohn's Lemma, both of which are fundamental ... is also commemorated in the term Menger-Urysohn dimension. Urysohn studied in University of ...
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Talk:Urysohn space
Talk:Urysohn space I have written this in line ... completely Hausdorff = separated by a function and Urysohn = separated by closed nbds. The PlanetMath article ... Feb 3 (UTC) completelyHausdorff T 2� functionallyHausdorff Urysohn Separation axiom func c.nbd c.nbd ... 2005 Feb 8 (UTC) Sorry, I modified Urysohn space without looking at the talk here ... certain logic behind that usage since a Urysohn function is defined (by both Willard ...
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Lemma of Urysohn   (translated from German)
Lemma of Urysohn That, that Topology coming of Lemma of Urysohn the following states: If $X$. The Lemma is after Paul Samuilovich Urysohn designated. To design it often used around ... set of Tietze . With its proof the Urysohn' Lemma is usually used. It remains marking ...
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Talk:Urysohn's lemma
Talk:Urysohn's lemma This lemma is generalized by ... 10 Jun 2004 (UTC) I just moved Urysohn's lemma from Urysohn's Lemma. There was no need for ...
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Talk:Completely Hausdorff space
Talk:Completely Hausdorff space Inconsistent definitions of Urysohn space and Completely Hausdorff space (I copied the following discussion from Talk:Urysohn space, which took place prior to Urysohn space being merged with this article. Paul ... completely Hausdorff = separated by a function and Urysohn = separated by closed nbds. The PlanetMath article ... Feb 3 (UTC) completelyHausdorff T 2� functionallyHausdorff Urysohn Separation axiom func c.nbd c. ...
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Completely Hausdorff space
... space In topology, completely Hausdorff spaces and Urysohn spaces are types of topological spaces satisfying ... x) = 0 and f(y) = 1. A Urysohn space, or T 2� space, is a ... the definition of completely Hausdorff spaces and Urysohn spaces. Readers of textbooks in topology must ... follows that every completely Hausdorff space is Urysohn and every Urysohn space is Hausdorff. One can also ...
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User talk:Toby Bartels
... to an issue I raised at Talk:Urysohn space. I just wanted your input. By ... 3 (UTC) I've replied on Talk:Urysohn space. Regarding History of the separation axioms ... 9742; 22:48, Mar 18, 2005 (UTC) Urysohn's Lemma I moved Urysohn's Lemma to Urysohn's lemma, as I saw no ...
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Felix Hausdorff   (translated from German)
... was justified by Paul Alexandroff and Paul Urysohn, was based in strong measure on Hausdorffs ... remained exchanges of letters with Alexandroff and Urysohn (after Urysohns early death with Alexandroff alone ... the extent of a book, into the Urysohn its dimension theory develops and in that ... 31 (2002), 195-240. [ U 1925/1926 ] Urysohn, P.: Mémoire sur les multiplicités Cantoriennes. Fundamenta ...
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