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- W2008989924 abstract "A neighbourhood assignment in a space X is a family O = { O x : x ∈ X } of open subsets of X such that x ∈ O x for any x ∈ X . A set Y ⊆ X is a kernel of O if O ( Y ) = ⋃ { O x : x ∈ Y } = X . We obtain some new results concerning dually discrete spaces, being those spaces for which every neighbourhood assignment has a discrete kernel. This is a strictly larger class than the class of D -spaces of [E.K. van Douwen, W.F. Pfeffer, Some properties of the Sorgenfrey line and related spaces, Pacific J. Math. 81 (2) (1979) 371–377]." @default.
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- W2008989924 date "2008-07-01" @default.
- W2008989924 modified "2023-09-28" @default.
- W2008989924 title "Dually discrete spaces" @default.
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- W2008989924 doi "https://doi.org/10.1016/j.topol.2008.04.003" @default.
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