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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A non-pseudocompact product
of countably compact spaces via Seq


Authors: W. F. Lindgren and A. A. Szymanski
Journal: Proc. Amer. Math. Soc. 125 (1997), 3741-3746
MSC (1991): Primary 54D80, 54B10, 54G05
MathSciNet review: 1415350
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Abstract: We show that under Martin's axiom there are $2^{2^\omega }$ spaces which are countably compact extremally disconnected homogeneous such that the product of any two them is not pseudocompact. The spaces are modeled on the space Seq($\xi $).


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Additional Information

W. F. Lindgren
Affiliation: Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania 16057
Email: William.Lindgren@sru.edu

A. A. Szymanski
Affiliation: Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania 16057
Email: Andrzej.Szymanski@sru.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04013-6
PII: S 0002-9939(97)04013-6
Keywords: Countably compact, extremally disconnected, homogeneous
Received by editor(s): July 14, 1994
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1997 American Mathematical Society