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On the cardinality of power homogeneous compacta |
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| Abstract: | 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. |
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