Sequential separability vs selective sequential separability | Zendy

Angelo Bella | Zendy; Camillo Costantini | Zendy

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Sequential separability vs selective sequential separability

Author(s) -

Angelo Bella,

Camillo Costantini

Publication year - 2015

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1501121b

Subject(s) - separable space , mathematics , countable set , sequence (biology) , limit (mathematics) , cosmic space , limit point , space (punctuation) , point (geometry) , combinatorics , polish space , discrete mathematics , mathematical analysis , geometry , computer science , genetics , biology , operating system

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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