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  • A NOTE ON SPACES Cp(X)K-ANALYTIC-FRAMED IN ℝX

  • Part of
  • J. C. FERRANDO, J. KĄKOL
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 78 / Issue 1 / August 2008
    Published online by Cambridge University Press:
    01 August 2008, pp. 141-146
    Print publication:
    August 2008
    • Article
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  • This paper characterizes the K-analyticity-framedness in ℝX for Cp(X) (the space of real-valued continuous functions on X with pointwise topology) in terms of Cp(X). This is used to extend Tkachuk’s result about the K-analyticity of spaces Cp(X) and to supplement the Arkhangel ′skiĭ–Calbrix characterization of σ-compact cosmic spaces. A partial answer to an Arkhangel ′skiĭ–Calbrix problem is also provided.