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- W2567689075 abstract "For any composant E⊂H⁎ and corresponding near-coherence-class E⊂ω⁎ we prove the following are equivalent: (1) E properly contains a dense semicontinuum. (2) Each countable subset of E is contained in a dense proper semicontinuum of E. (3) Each countable subset of E is disjoint from some dense proper semicontinuum of E. (4) E has a minimal element in the finite-to-one weakly-increasing order of ultrafilters. (5) E has a Q-point. A consequence is that NCF is equivalent to H⁎ containing no proper dense semicontinuum and no non-block points. This gives an axiom-contingent answer to a question of the author. Thus every known continuum has either a proper dense semicontinuum at every point or at no points. We examine the structure of indecomposable continua for which this fails, and deduce they contain a maximum semicontinuum with dense interior." @default.
- W2567689075 created "2017-01-06" @default.
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- W2567689075 date "2017-03-01" @default.
- W2567689075 modified "2023-10-03" @default.
- W2567689075 title "A continuum without non-block points" @default.
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- W2567689075 doi "https://doi.org/10.1016/j.topol.2016.12.014" @default.
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