Definition of Realcompact. Meaning of Realcompact. Synonyms of Realcompact

Here you will find one or more explanations in English for the word Realcompact. Also in the bottom left of the page several parts of wikipedia pages related to the word Realcompact and, of course, Realcompact synonyms and on the right images related to the word Realcompact.

Definition of Realcompact

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Meaning of Realcompact from wikipedia

- mathematics, in the field of topology, a topological space is said to be realcompact if it is completely regular Hausdorff and it contains every point of...
- realcompact Tychonoff spaces is anti-equivalent to the category of the rings C ( X ) {\displaystyle C(X)} (where X {\displaystyle X} is realcompact)...
- Hausdorff space X to be compact requires that X be pseudocompact and realcompact (see Engelking 1968, p. 153). For a Tychonoff space X to be compact requires...
- infinite covering dimension. Compact space Paracompact space Normal space Realcompact space Pseudocompact space Mesocompact space Tychonoff space Glossary...
- uniformizable. (Shirota's theorem) A completely regular Hausdorff space is realcompact if and only if it is completely uniformizable and contains no closed...
- Pacific J. Math. 129 (1987), no. 2, 277–296. Williams, Scott W. More realcompact spaces. Rings of continuous functions (Cincinnati, Ohio, 1982), 289–300...