On the cardinality of power homogeneous compacta
نویسنده
چکیده
We prove that if X is a power homogeneous compact space then |X| 2c(X)·πχ(X). This generalizes similar results of Arhangel’skiı̆, van Douwen and Ismail. We apply this result to get new estimates for the cardinality of (power) homogeneous compacta satisfying some special conditions. 2004 Elsevier B.V. All rights reserved.
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