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- W4253485491 abstract "We investigate the relation of Souslin (antichain) properties of trees and tree topologies. One result extends a result of Devlin and Shelah by proving, within ZFC, the equivalence of four properties for ${omega _1}$-trees-collectionwise normal, normal and collectionwise Hausdorff, property $gamma$, and antichain normal and collectionwise Hausdorff. A second result is the construction, assuming $V = L$, of an Aronszajn tree which is not countably metacompact. Third, we show that no tree can be a Dowker space." @default.
- W4253485491 created "2022-05-12" @default.
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- W4253485491 date "1980-10-01" @default.
- W4253485491 modified "2023-09-25" @default.
- W4253485491 title "Remarks on Souslin Properties and Tree Topologies" @default.
- W4253485491 doi "https://doi.org/10.2307/2042970" @default.
- W4253485491 hasPublicationYear "1980" @default.
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