e/Hemicompact space

Information
has gloss	eng: In 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 of the space lies inside some compact set in the sequence. Clearly, this forces the union of the sequence to be the whole space, because every point is compact and hence must lie in one of the compact sets.
lexicalization	eng: hemicompact space
instance of	c/Properties of topological spaces