Geodesic
Convergence Formulas for Sequences of Sets
Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 961-969

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Chimenti, Frank A. Convergence Formulas for Sequences of Sets. Canadian journal of mathematics, Tome 27 (1975) no. 5, pp. 961-969. doi: 10.4153/CJM-1975-099-x
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