Tychonoff space

(redirected from Completely regular)

Tychonoff space

[tī′kä‚nȯf ‚spās]
(mathematics)
A completely regular space that is also a T1 space. Also known as Tspace.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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A topological space X is a completely regular Hausdorff space if for every closed subset Z of X and every x [member of] X\Z there is a continuous map f : X [right arrow] [0,1] such that f(x) = 0 and f(z) = 1 for every z [member of] Z.
Let X be a nonempty completely regular Hausdorff topological space and let K(X) denote the family of all compact sets of X.
Let X be a completely regular (respectively normal) topological space, V an open subset of X and let F [member of] [MA.sub.[partial derivative]V]([bar.V], X) be [PSI]-essential in [MA.sub.[partial derivative]V]([bar.V], X).
In this paper, we explore completely regular codes in the Hamming graphs and related graphs.
An element a+bI of a Neutrosophic AG-groupoid N(S) is called a completely regular element of N(S) if a + bI is regular, left regular and right regular.
The joins of bipartite graphs with completely regular endomorphism monoids were characterized in [4].
A space is completely regular if and only if for any f, g: X [right arrow] [0,1], with f compact-like (i.e.
"We received allegations that some things will not be completely regular and of course we are monitoring if the elections are conducted in compliance with the OSCE recommendations.
Figure 1(a) shows that when p = 0,the connection mode of neural network model is completely regular, in which each neuron maintains the same number of links with adjacent neurons and this neural network model is commonly used.
REPRESENTATION THEOREM FOR C(X), WITH X COMPLETELY REGULAR

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