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- W2048048692 abstract "For an ordinal α , 2 α denotes the collection of all nonempty closed sets of α with the Vietoris topology and K ( α ) denotes the collection of all nonempty compact sets of α with the subspace topology of 2 α . It is well known that 2 α is normal iff cf α = 1 . In this paper, we will prove that for every nonzero-ordinal α : (1) 2 α is countably paracompact iff cf α ≠ ω . (2) K ( α ) is countably paracompact. (3) K ( α ) is normal iff, if cf α is uncountable, then cf α = α . In (3), we use elementary submodel techniques." @default.
- W2048048692 created "2016-06-24" @default.
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- W2048048692 date "2007-01-01" @default.
- W2048048692 modified "2023-09-29" @default.
- W2048048692 title "Normality and countable paracompactness of hyperspaces of ordinals" @default.
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- W2048048692 doi "https://doi.org/10.1016/j.topol.2006.04.017" @default.
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