Pseudocompact Whyburn spaces need not be Fréchet

  • Pelant J
  • Tkachenko M
  • Tkachuk V
  • et al.
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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 P-space to be AP as well as a characterization of AP-property in linearly ordered topological spaces.

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Pelant, J., Tkachenko, M. G., Tkachuk, V. V., & Wilson, R. G. (2002). Pseudocompact Whyburn spaces need not be Fréchet. Proceedings of the American Mathematical Society, 131(10), 3257–3265. https://doi.org/10.1090/s0002-9939-02-06840-5

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