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Means on scattered compacta

T. Banakh;  R. Bonnet;  W. Kubis — 2014

Topological Algebra and its Applications

We prove that a separable Hausdor_ topological space X containing a cocountable subset homeomorphic to [0, ω1] admits no separately continuous mean operation and no diagonally continuous n-mean for n ≥ 2.

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