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arXiv · 1309.2401

Means on scattered compacta

Taras Banakh·Robert Bonnet·Wieslaw Kubis
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Abstract

We prove that a separable Hausdorff topological space $X$ containing a cocountable subset homeomorphic to $[0,\omega_1]$ admits no separately continuous mean operation and no diagonally continuous $n$-mean for $n\ge 2$.

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Taras Banakh, Robert Bonnet, Wieslaw Kubis. 2013-09-10. Means on scattered compacta. https://doi.org/10.2478/taa-2014-0002

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