Namioka spaces and topological games

Author:

Mykhaylyuk V. V.

Abstract

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 AX such that f is jointly continuous at each point of A × Y.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Some class of Namioka spaces;Rybakov;Mat. zametki,2003

2. [6] Maslyuchenko O.V. , Oscillation of separately continuous functions and topological games, (Ph.D. Thesis, in Ukrainian) (Chernivtsi National University, 2002).

3. Topological Function Spaces

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1. DEPENDENCE ON COUNTABLE MANY OF COORDINATES OF SEPARATELY CONTINUOUS FUNCTIONS OF THREE VARIABLES;Bukovinian Mathematical Journal;2022

2. ON A PROBLEM OF TALAGRAND CONCERNING SEPARATELY CONTINUOUS FUNCTIONS;Journal of the Institute of Mathematics of Jussieu;2020-02-06

3. Namioka spaces, GO-spaces and an o-game;Topology and its Applications;2018-02

4. Upper Namioka property of compact-valued mappings;Topology and its Applications;2017-09

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