Pseudocompact Whyburn spaces need not be Fréchet

Pelant, Jan; Tkachenko, Mihail; Tkachuk, Vladimir; Wilson, Richard

doi:10.1090/S0002-9939-02-06840-5

Pseudocompact Whyburn spaces need not be Fréchet
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by Jan Pelant, Mihail G. Tkachenko, Vladimir V. Tkachuk and Richard G. Wilson PDF

Proc. Amer. Math. Soc. 131 (2003), 3257-3265 Request permission

Abstract:

We prove in ZFC that there exists a Tychonoff pseudocompact scattered AP-space of uncountable tightness. We give some sufficient and necessary conditions for a $\mathcal {P}$-space to be AP as well as a characterization of AP-property in linearly ordered topological spaces.

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