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Convergence Formulas for Sequences of Sets
Published online by Cambridge University Press: 20 November 2018
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This paper is concerned with the convergence of sequences of subsets of a topological space, as defined by F. Hausdorff [6]. Such a sequence converges if and only if its limit inferior equals its limit superior, where its limit inferior (respectively, superior) is that set each of whose elements satisfies the condition that each of its neighborhoods has nonempty intersection with all but finitely (respectively, with infinitely) many terms of the sequence.
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- Copyright © Canadian Mathematical Society 1975