Means on scattered compacta
نویسندگان
چکیده
منابع مشابه
CZ EC H RE PU BL IC Means on scattered compacta
We prove that a separable Hausdorff 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. In this paper we construct a scattered compact space admitting no continuous mean operation, thus answering Problem 5 of [4]. By a mean operation on a set X we understand any binary operation...
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ژورنال
عنوان ژورنال: Topological Algebra and its Applications
سال: 2014
ISSN: 2299-3231
DOI: 10.2478/taa-2014-0002