Metrization of Fpp-spaces

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A Hausdorff space each subspace of which is a paracompact p-space is an Fpp-space. A space X is a closed hereditary Baire space if each closed subspace of X is a Baire space. Using a delicate theorem of Z. Balogh it is shown that a first-countable Fpp-space that is a closed hereditary Baire space is metrizable.

Original languageEnglish
Pages (from-to)7-10
Number of pages4
JournalTopology and its Applications
Issue number1
StatePublished - Jan 1983


  • 54B35, 54D18
  • Baire space
  • F-space
  • metrizable
  • paracompact p-space

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