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Separability and sequential separability of the space \(C(X)\)

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Publication:1991772
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DOI10.1134/S0001434618070106zbMath1405.54009OpenAlexW2895171119WikidataQ129162540 ScholiaQ129162540MaRDI QIDQ1991772

Alexander V. Osipov

Publication date: 30 October 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618070106


zbMATH Keywords

separabilityfunction spaceset-open topologysequential separability


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Separability of topological spaces (54D65)





Cites Work

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  • Topological-algebraic properties of function spaces with set-open topologies
  • The \(C\)-compact-open topology on function spaces
  • Sequential density
  • On sequential separability
  • On sequentially compact-open topology
  • The dual of C_rc(X)
  • On the length of Borel hierarchies
  • The Density Character of Function Spaces




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