Hemicompact Space
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.
Read more about Hemicompact Space: Examples, Properties
Famous quotes containing the word space:
“When my body leaves me
Im lonesome for it.
but body
goes away to I dont know where
and its lonesome to drift
above the space it
fills when its here.”
—Denise Levertov (b. 1923)