compact space

(redirected from Sequentially compact)

compact space

[¦käm‚pakt ′spās]
(mathematics)
A topological space which is a compact set.
References in periodicals archive ?
Consequently B is weakly sequentially compact, so weakly compact by the Eberlein-Smulian theorem [3, pg.
Then X is sequentially compact non-compact and under (CH) it even has a compact resolution, see [21, Theorem 3.
We say S is forward sequentially compact if every sequence has a forward convergent subsequence with limit in S.
A I-sequentially continuous image of any sequentially compact subset of X is sequentially compact.
Note that K is a compact subset in a sequential space, K is sequentially compact.