Between the Lindelöf property and countable tightness

Frankiewicz, R.; Plebanek, G.; Ryll-Nardzewski, C.

doi:10.1090/S0002-9939-00-05489-7

Between the Lindelöf property and countable tightness
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by R. Frankiewicz, G. Plebanek and C. Ryll-Nardzewski

Proc. Amer. Math. Soc. 129 (2001), 97-103

DOI: https://doi.org/10.1090/S0002-9939-00-05489-7

Published electronically: June 21, 2000

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Abstract:

We consider a class of compact spaces $K$ for which the space $P(K)$ of probability Radon measures on $K$ has countable tightness in the $weak^*$ topology. We show that that class contains those compact zero-dimensional spaces for which $C(K)$ is weakly Lindelöf, and, under MA + $\neg$CH, all compact spaces $K$ with $C(K)$ having property (C) of Corson.

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