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.
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References in periodicals archive ?
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.
The 21 selected papers discuss such topics as the dynamic chromatic number of graphs, Euclidean designs and coherent configurations, the list coloring of graphs with cycles of length divisible by a given integer, the rational independence roots, a theorem on incidence matrices and quasi-random hyper-graphs, characterizing completely regular codes from an algebraic viewpoint, and the proportion of various graphs in graph-designs.
According to Vuchkov, who spoke on the Bulgarian National Radio, this is a completely regular procedure that is no cause for worry.
Note that this topology is always completely regular.
Conversely, if (X, [tau]) is any completely regular space, then there exists a proximity [delta] on X such that [tau] = [tau]([delta])
Then x is said to be a fibrewise completely regular if for each x [member of] [X.
If X' is fibrewise completely regular, then so is X.
Since X' is fibrewise completely regular, there exists a proximal neighbourhood W >> b in B and a p-continuous map [p.
By hypothesis, X is fibrewise completely regular proximity space.
19 Theorem: Let X be a fibrewise completely regular and fibrewise To over B.
Mathematical methods developed by study coauthors George Sugihara and Chih-hao Hsieh, both of the University of California, San Diego, indicated that flies' spontaneous flight maneuvers were neither totally random nor completely regular or repetitive.
Before this, and subsequently, her menstruation had been completely regular with a 28-day cycle.

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