A non-pseudocompact product of countably compact spaces via Seq
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- by W. F. Lindgren and A. A. Szymanski PDF
- Proc. Amer. Math. Soc. 125 (1997), 3741-3746 Request permission
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($\xi$).References
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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
- Received by editor(s): July 14, 1994
- Communicated by: Franklin D. Tall
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3741-3746
- MSC (1991): Primary 54D80, 54B10, 54G05
- DOI: https://doi.org/10.1090/S0002-9939-97-04013-6
- MathSciNet review: 1415350