Means on scattered compacta

0430296 - MÚ 2015 RIV DE eng J - Journal Article
Banakh, T. - Bonnet, R. - Kubiś, Wieslaw
Means on scattered compacta.
Topological Algebra and its Applications. Roč. 2, č. 1 (2014), s. 5-10. ISSN 2299-3231
R&D Projects: GA ČR(CZ) GAP201/12/0290
Institutional support: RVO:67985840
Keywords : scattered compact space * mean operation
Subject RIV: BA - General Mathematics
http://www.degruyter.com/view/j/taa.2014.2.issue-1/taa-2014-0002/taa-2014-0002.xml

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.
Permanent Link: http://hdl.handle.net/11104/0235249