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Strongly near proximity \& hyperspace topology

Published 20 Feb 2015 in math.GN | (1502.05913v3)

Abstract: This article introduces strongly near proximity, which represents a new kind of proximity called \emph{almost proximity}. A main result in this paper is the introduction of a hit-and-miss topology on ${CL}(X)$, the hyperspace of nonempty closed subsets of $X$, based on the strongly near proximity.

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