separable space


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separable space

[′sep·rə·bəl ′spās]
(mathematics)
A topological space which has a countable subset that is dense.
References in periodicals archive ?
Let X be a separable space, A a closed subset of X and [?
omega]]) is different from {0} and, in view of the assumption that X is a separable space, we can apply Lemma 3.
1](K) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Since [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a hereditarily separable space, it implies that f -1(K) is separable in M, i.
However, for separable spaces X it is so : separating subspaces of NA(X) are actually isometric preduals of X and thus in particular they are 1-norming.