Definition of Hemicompact. Meaning of Hemicompact. Synonyms of Hemicompact

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

Definition of Hemicompact

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Meaning of Hemicompact from wikipedia

- mathematics, in the field of topology, a topological space is said to be hemicompact if it has a sequence of compact subsets such that every compact subset...
- The hemicompact property is intermediate between exhaustible by compact sets and σ-compact. Every space exhaustible by compact sets is hemicompact and...
- compact since Rω is a topological group that is also a Baire space. Every hemicompact space is σ-compact. The converse, however, is not true; for example,...
- spaces X that possess an exhaustion by compact sets (that is, X must be hemicompact). However, it can be generalized as follows: let X be any topological...