A space X is selectively absolutely star-Lindelof if for any open cover U of X and any sequence (D-n, : n is an element of w) of dense subsets of X, there are finite sets F-n subset of D-n, (n is an element of w) such that St(boolean OR(n is an element of w) F-n, U) = X. This notion was introduced by S. Bhowmik [3], and it lies between absolute countable compactness in Matveev [9] and absolute star-Lindelofness in Bonanzinga [4]. In this paper, we distinguish absolute star-Lindelofness from selective absolute star-Lindelofness, and study the general properties of selectively absolutely star-Lindelof spaces.
On selective absolute star-Lindelöfness
BONANZINGA, Maddalena
Primo
;CUZZUPE', MARIA VITTORIA;
2017-01-01
Abstract
A space X is selectively absolutely star-Lindelof if for any open cover U of X and any sequence (D-n, : n is an element of w) of dense subsets of X, there are finite sets F-n subset of D-n, (n is an element of w) such that St(boolean OR(n is an element of w) F-n, U) = X. This notion was introduced by S. Bhowmik [3], and it lies between absolute countable compactness in Matveev [9] and absolute star-Lindelofness in Bonanzinga [4]. In this paper, we distinguish absolute star-Lindelofness from selective absolute star-Lindelofness, and study the general properties of selectively absolutely star-Lindelof spaces.File in questo prodotto:
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