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PRODUCTS AND SELECTION PRINCIPLES
We study when the product of separable metric spaces has the selective screenability property, the Menger property, or the Rothberger property. Our results imply the product of a Lusin set and (1) a
Combinatorics of open covers (IX): Basis properties
We introduce the concepts of diagonalization basis property and strong diag- onalization basis property. For appropriate spaces having these properties we show that the classical selection properties
Selective strong screenability and a game
Selective versions of screenability and of strong screenability coincide in a large class of spaces. We show that the corresponding games are not equivalent in even such standard metric spaces as the
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