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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 27, 2014

Means on scattered compacta

  • T. Banakh EMAIL logo , R. Bonnet and W. Kubis

Abstract

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.

References

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Received: 2013-09-11
Accepted: 2014-04-04
Published Online: 2014-05-27
Published in Print: 2014-01-01

© 2014 T. Banakh

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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