Angelo Bella, Camillo Costantini
Abstract
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A space X is sequentially separable if there is a countable D ? X such that every point of X is the limit of a sequence of points from D. We present two examples of a sequentially separable space which is not selectively sequentially separable. One of them is in addition countable and sequential.
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A space X is sequentially separable if there is a countable D ? X such that every point of X is the limit of a sequence of points from D. We present two examples of a sequentially separable space which is not selectively sequentially separable. One of them is in addition countable and sequential.
Key concepts: Separable space, Mathematics, Countable set, Sequence (biology), Limit (mathematics), Cosmic space, Limit point, Space (punctuation)