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- W3005963735 abstract "Abstract We investigate C-sets in almost zero-dimensional spaces, showing that closed $sigma $ C-sets are C-sets. As corollaries, we prove that every rim- $sigma $ -compact almost zero-dimensional space is zero-dimensional and that each cohesive almost zero-dimensional space is nowhere rational. To show that these results are sharp, we construct a rim-discrete connected set with an explosion point. We also show that every cohesive almost zero-dimensional subspace of $($ Cantor set $)!times mathbb R$ is nowhere dense." @default.
- W3005963735 created "2020-02-24" @default.
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- W3005963735 date "2020-07-15" @default.
- W3005963735 modified "2023-09-26" @default.
- W3005963735 title "On cohesive almost zero-dimensional spaces" @default.
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- W3005963735 doi "https://doi.org/10.4153/s0008439520000545" @default.
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