A non-pseudocompact product of countably compact spaces via Seq

Lindgren, W.; Szymanski, A.

doi:10.1090/S0002-9939-97-04013-6

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($\xi$).

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