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- W2002131495 abstract "Let P be the class of all spaces whose Cartesian product with every paracompact space is paracompact. We prove that if X is a paracompact, first-countable GO-space with σ DC dense subset then X ∈ P if and only if X is σ DC . We also prove that if Y is a metric GO-space and X is a GO-space defined on Y then X is metrizable provided X ∈ P . These results support the validity of the Telgársky's conjecture which says that if X is a paracompact space then X ∈ P if and only if the first player of the G ( DC , X ) game introduced by R. Telgársky, see [13] , [4] , [5] has a winning strategy." @default.
- W2002131495 created "2016-06-24" @default.
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- W2002131495 date "2014-03-01" @default.
- W2002131495 modified "2023-10-17" @default.
- W2002131495 title "Productivity of paracompactness in the class of the first-countable GO-spaces with certain dense subsets" @default.
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- W2002131495 doi "https://doi.org/10.1016/j.topol.2014.01.008" @default.
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