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Pseudonormality and starcompactness of  -products
Author(s):
Keiko
Chiba
Journal:
Proc. Amer. Math. Soc.
131
(2003),
319-327.
MSC (2000):
Primary 54B05, 54B10, 54D15, 54D20
Posted:
May 8, 2002
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Abstract:
In this paper we shall prove the following: For every non-trivial  -product  , of uncountable number of spaces, having at least two points,  is not pseudonormal. And every non-trivial  -product is not strongly starcompact.
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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
DOI:
10.1090/S0002-9939-02-06496-1
PII:
S 0002-9939(02)06496-1
Keywords:
$\sigma$-product,
pseudonormal,
strongly starcompact,
starcompact
Received by editor(s):
April 20, 2001
Received by editor(s) in revised form:
August 20, 2001
Posted:
May 8, 2002
Communicated by:
Alan Dow
Copyright of article:
Copyright
2002,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Keiko Chiba, Pseudonormality and starcompactness of $\sigma$-products, Proc. Amer. Math. Soc. (1) 131 (2003), posted on 02/11/2003, 319-327. (English)
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