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Complements of unions: Insights on spaceability and applications

Complements of unions: Insights on spaceability and applications

Abstract This paper presents two general criteria to determine spaceability results in the complements of unions of subspaces. The first criterion applies to countable unions of subspaces under specific conditions and is closely related to the results of Kitson and Timoney [J. Math. Anal. Appl. 378 (2011), 680–686]. This criterion …