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Collectionwise normality and selections into Hilbert spaces

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Publication:924284
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DOI10.1016/j.topol.2007.04.014zbMath1146.54012OpenAlexW2078348508MaRDI QIDQ924284

Ivailo Shishkov

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.04.014


zbMATH Keywords

Hilbert spaceselectionset-valued mappingcollectionwise normallower semi-continuouscountably paracompact


Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Selections in general topology (54C65) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)


Related Items (1)

Reduction principles in the theory of selections



Cites Work

  • Extensions of l. s. c. mappings into reflexive Banach spaces
  • Selections of set-valued mappings with hereditarily collectionwise normal domain
  • Continuous selections and reflexive Banach spaces
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