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Some properties of relatively strong pseudocompactness

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Abstract

In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space X and a subspace Y satisfy that Y ⊂ \( \overline { Int Y} \) and Y is strongly pseudocompact and metacompact in X, then Y is compact in X. We also give an example to demonstrate that the condition Y ⊂ \( \overline { Int Y} \) can not be omitted.

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Authors and Affiliations

  1. College of Mathematics, Jilin Normal University, Siping, Jilin Province, 136 000, P.R. China

    Guo-Fang Zhang

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  1. Guo-Fang Zhang
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Correspondence to Guo-Fang Zhang.

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This work is supported by NSFC, project 10571081.

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Zhang, GF. Some properties of relatively strong pseudocompactness. Czech Math J 58, 1145–1152 (2008). https://doi.org/10.1007/s10587-008-0075-y

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  • DOI: https://doi.org/10.1007/s10587-008-0075-y

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