Means on scattered compacta
T. Banakh ; R. Bonnet ; W. Kubis
Topological Algebra and its Applications, Tome 2 (2014), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:266591 
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     author = {T. Banakh and R. Bonnet and W. Kubis},
     title = {Means on scattered compacta},
     journal = {Topological Algebra and its Applications},
     volume = {2},
     year = {2014},
     zbl = {1310.54023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_taa-2014-0002}
}

T. Banakh; R. Bonnet; W. Kubis. Means on scattered compacta. Topological Algebra and its Applications, Tome 2 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_taa-2014-0002/

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