Sigma-compact, nowhere locally compact metric spaces can be densely imbedded in Hilbert space
نویسندگان
چکیده
منابع مشابه
Locally Compact, Ω1-compact Spaces
This paper is centered on an extremely general problem: Problem. Is it consistent (perhaps modulo large cardinals) that a locally compact space X must be the union of countably many ω-bounded subspaces if every closed discrete subspace of X is countable [in other words, if X is ω1-compact]? A space is ω-bounded if every countable subset has compact closure. This is a strengthening of countable ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1983
ISSN: 0166-8641
DOI: 10.1016/0166-8641(83)90022-6