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Namioka spaces and topological games

Published online by Cambridge University Press:  17 April 2009

V. V. Mykhaylyuk
V. V. Mykhaylyuk
Affiliation:
Chernivtsi National University, Department of Mathematical Analysis, Kotsjubyns'koho 2, Chernivtsi 58012, Ukraine e-mail: mathan@chnu.cv.ua
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We introduce a class of β − v-unfavourable spaces, which contains some known classes of β-unfavourable spaces for topological games of Choquet type. It is proved that every β − v-unfavourable space X is a Namioka space, that is for any compact space Y and any separately continuous function f : x × Y → ℝ there exists a dense in XGδ-set A ⊆ X such that f is jointly continuous at each point of A × Y.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 263 - 272
Copyright
Copyright © Australian Mathematical Society 2006

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