Some remarks on a Telgarsky's conjecture concerning products of paracompact spaces |
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| Authors: | K Alster |
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| Institution: | a Faculty of Mathematics and Science, School of Science of the Cardinal Stefan Wyszyński University in Warsaw, Poland
b Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland |
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| Abstract: | R. Telgarsky conjectured that if X is a paracompact space then the product X×Y is paracompact for every paracompact space Y if and only if the first player of the G(DC,X) game, introduced by R. Telgarsky, see R. Telgarsky, Spaces defined by topological games, Fund. Math. 88 (1975) 193-223], has a winning strategy. The paper contains some results supporting this conjecture. |
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| Keywords: | 54B10 |
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