Categories of topological spaces with sufficiently many sequentially closed spaces
Dikran Dikranjan, Jan Pelant (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Categories of topological spaces with sufficiently many sequentially closed spaces
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If is a family of filters over some set I, a topological space X is sequencewise -compact if for every I-indexed sequence of elements of X there is such that the sequence has an F-limit point. Countable compactness, sequential compactness, initial κ-compactness, [λ; µ]-compactness, the Menger and Rothberger properties can all be expressed in terms of sequencewise -compactness for appropriate choices of . We show that sequencewise -compactness is preserved under taking products if and...
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