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- W2968598639 abstract "The notion of a κ-splitting diagonal was introduced and studied by Tkachuk. In this paper, we prove that there exists a locally countable, locally compact space with an ω1-splitting diagonal but no Gδ-diagonal. Using the Erdös-Radó's theorem, we also prove that every DCCC homogeneous space X with a regular Gδ-diagonal such that πχ(X)=ω has cardinality at most c. Some new questions are also posed." @default.
- W2968598639 created "2019-08-22" @default.
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- W2968598639 date "2019-09-01" @default.
- W2968598639 modified "2023-10-17" @default.
- W2968598639 title "Small diagonals and cardinal invariants" @default.
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- W2968598639 doi "https://doi.org/10.1016/j.topol.2019.106838" @default.
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