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- W2049332386 abstract "We consider which ordinals, with the order topology, can be Stone–Čech remainders of which spaces of the form ψ(κ,M), where ω⩽κ is a cardinal number and M⊂[κ]ω is a maximal almost disjoint family of countable subsets of κ (MADF). The cardinality of the continuum, denoted c, and its successor cardinal, c+, play important roles. We show that if κ>c+, then no ψ(κ,M) has any ordinal as a Stone–Čech remainder. If κ⩽c then for every ordinal δ<κ+ there exists Mδ⊂[κ]ω, a MADF, such that βψ(κ,Mδ)∖ψ(κ,Mδ) is homeomorphic to δ+1. For κ=c+, βψ(κ,Mδ)∖ψ(κ,Mδ) is homeomorphic to δ+1 if and only if c+⩽δ<c+⋅ω." @default.
- W2049332386 created "2016-06-24" @default.
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- W2049332386 date "2011-09-01" @default.
- W2049332386 modified "2023-09-29" @default.
- W2049332386 title "Ordinal remainders of ψ-spaces" @default.
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- W2049332386 doi "https://doi.org/10.1016/j.topol.2011.06.021" @default.
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