# Completely-regular-space

**noun**, Mathematics.

1.

a topological space in which, for every point and a closed set not containing the point, there is a continuous function that has value 0 at the given point and value 1 at each point in the closed set.

Tagged: c

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- Complete-metamorphosis
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- Complete metric space
theory A metric space in which every sequence that converges in itself has a limit. For example, the space of real numbers is complete by Dedekind’s axiom, whereas the space of rational numbers is not – e.g. the sequence a[0]=1; a[n_+1]:=a[n]/2+1/a[n]. (1998-07-05)

- Completeness
[kuh m-pleet] /kəmˈplit/ adjective 1. having all parts or elements; lacking nothing; whole; entire; full: a complete set of Mark Twain’s writings. 2. finished; ended; concluded: a complete orbit. 3. having all the required or customary characteristics, skills, or the like; consummate; perfect in kind or quality: a complete scholar. 4. thorough; entire; total; undivided, […]

- Complete partial ordering
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