Heredity of tau-pseudocompactness

Details Heredity of tau-pseudocompactness Heredity of tau-pseudocompactness

2005-05-24

arxiv.org/abs/math/0505516v1

Scientiae Mathematicae Japonicae, 62, No. 2 (2005), 221-225, :e2005, 195-199

Mathematics

General Topology

5 pages

Scientific paper

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.

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