Vipul at 01:42, 22 May 2026

2026-05-22T01:42:28Z

← Older revision		Revision as of 01:42, 22 May 2026
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	==Definition==		==Definition==

	A topological space <math>X</math> is termed a '''Urysohn space''' if given any two distinct points <math>x,y \in X</math>, there exists a continuous function <math>f:X \to [0,1]</math> such that <math>f(x) = 0</math>, <math<f(y) = 1</math>.		A topological space <math>X</math> is termed a '''Urysohn space''' if given any two distinct points <math>x,y \in X</math>, there exists a continuous function <math>f:X \to [0,1]</math> such that <math>f(x) = 0</math>, <math>f(y) = 1</math>.

	==Facts==		==Facts==

Vipul: New page: ==Definition== A topological space $X$ is termed a '''Urysohn space''' if given any two distinct points $x,y \in X$ , there exists a continuous function $f:X \to...$

2009-02-06T00:07:18Z

New page: ==Definition== A topological space <math>X</math> is termed a '''Urysohn space''' if given any two distinct points <math>x,y \in X</math>, there exists a continuous function <math>f:X \to...

New page

==Definition==

A topological space <math>X</math> is termed a '''Urysohn space''' if given any two distinct points <math>x,y \in X</math>, there exists a continuous function <math>f:X \to [0,1]</math> such that <math>f(x) = 0</math>, <math<f(y) = 1</math>.

==Facts==

* [[Natural map from topological space to max-spectrum of ring of continuous real-valued functions is an injection iff the space is Urysohn]]

==External links==

===Primary subject wiki link===

* [[Topospaces:Urysohn space]]

Urysohn space - Revision history

Vipul at 01:42, 22 May 2026

Vipul: New page: ==Definition== A topological space X is termed a '''Urysohn space''' if given any two distinct points x,y \in X, there exists a continuous function f:X \to...

Vipul: New page: ==Definition== A topological space $X$ is termed a '''Urysohn space''' if given any two distinct points $x,y \in X$ , there exists a continuous function $f:X \to...$