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- W2135778052 abstract "Abstract An extension of the Banach-Mackey theorem is used to prove a theorem about countable families of closed balanced convex sets that cover a product of linear topological spaces. This theorem clarifies proofs that certain Baire-type properties, including the unordered Baire-like property, are preserved under products. A modification of the theorem is used to show that a property involving the bounded-absorbing sequences of DeWilde and Houet is also productive. Finally, a question is posed about balanced absorbing sets relating to products of linear Baire spaces. 1980 Mathematics subject classification (Amer. Math. Soc.) : 46 A 99." @default.
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- W2135778052 date "1980-05-01" @default.
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- W2135778052 title "Coverings of products of linear topological spaces" @default.
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- W2135778052 doi "https://doi.org/10.1017/s1446788700021261" @default.
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