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.

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  • Complete-metamorphosis

    noun 1. insect development in which egg, larval, pupal, and adult stages occur, each differing greatly in morphology. Compare .

  • 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

    theory (cpo) A partial ordering of a set under a relation, where all directed subsets have a least upper bound. A cpo is usually defined to include a least element, bottom (David Schmidt calls this a pointed cpo). A cpo which is algebraic and boundedly complete is a (Scott) domain. (1994-11-30)



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