Pseudonormality and starcompactness of $\sigma$-products
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Abstract:
In this paper we shall prove the following: For every non-trivial $\sigma$-product $\sigma$, of uncountable number of spaces, having at least two points, $\sigma \smallsetminus \sigma _{n}$ is not pseudonormal. And every non-trivial $\sigma$-product is not strongly starcompact.References
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Additional Information
- Keiko Chiba
- Affiliation: Department of Mathematics, Faculty of Science, Shizuoka University, Ohya, Shizuoka, 422-8529 Japan
- Email: smktiba@ipc.shizuoka.ac.jp
- Received by editor(s): April 20, 2001
- Received by editor(s) in revised form: August 20, 2001
- Published electronically: May 8, 2002
- Communicated by: Alan Dow
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 319-327
- MSC (2000): Primary 54B05, 54B10, 54D15, 54D20
- DOI: https://doi.org/10.1090/S0002-9939-02-06496-1
- MathSciNet review: 1929052