English

Heredity of tau-pseudocompactness

General Topology 2009-03-14 v1

Abstract

S. Garcia-Ferreira and H. Ohta gave a construction that was intended to produce a tau-pseudocompact space, which has a regular-closed zero set A and a regular-closed C-embedded set B such that neither A nor B is tau-pseudocompact. We show that although their sets A, B are not regular-closed, there are at least two ways to make their construction work to give the desired example.

Cite

@article{arxiv.math/0505516,
  title  = {Heredity of tau-pseudocompactness},
  author = {Jerry E. Vaughan},
  journal= {arXiv preprint arXiv:math/0505516},
  year   = {2009}
}

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5 pages