Spaces which contain a copy of \(S_{\omega}\) or \(S_ 2\) and their applications

DOI10.1016/0166-8641(88)90080-6zbMath0657.54021OpenAlexW2074748456MaRDI QIDQ1110847

Tsugunori Nogura, Yoshio Tanaka

Publication date: 1988

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90080-6

zbMATH Keywords

tightnessclosed map(strongly) Frechet spaceAren's spacespointwise-countable typesequential fans

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Sequential spaces (54D55) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Quotient spaces, decompositions in general topology (54B15) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Embedding (54C25)

Related Items

\(g\)-metrizability and \(S_ \omega\) ⋮ Topological groups with a certain point-countable cover ⋮ Sequential order of product spaces ⋮ No interesting sequential groups ⋮ A note on the Arens' space and sequential fan ⋮ Sequential order of product of Fréchet spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The projective Menger property and an embedding of \(S_{\omega}\) into function spaces ⋮ \(k^*\)-metrizable spaces and their applications ⋮ On statistically sequentially covering maps ⋮ Precise bounds for the sequential order of products of some Fréchet topologies ⋮ Abelian groups of continuous functions and their duals ⋮ Metrizability of topological groups having weak topologies with respect to good covers

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