Weak $P$-points in compact CCC $F$-spaces
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- by Alan Dow PDF
- Trans. Amer. Math. Soc. 269 (1982), 557-565 Request permission
Abstract:
Using a technique due to van Mill we show that each compact ccc $F$-space of weight greater than ${2^\omega }$ contains a weak $P$-point, i.e. a point $x \in X$ such that $x \notin \overline F$ for each countable $F \subset X - \{ x\}$. We show that, assuming $BF(c)$, each nowhere separable compact $F$-space has a weak $P$-point. We show the existence of points which are not limit points of any countable nowhere dense set in compact $F$-spaces of weight ${\aleph _1}$. We also discuss remote points and points not the limit point of any countable discrete set.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 269 (1982), 557-565
- MSC: Primary 54D35; Secondary 03E50
- DOI: https://doi.org/10.1090/S0002-9947-1982-0637709-4
- MathSciNet review: 637709