Geodesic
Multifunctions and Inverse Cluster Sets
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 161-171

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DOI

In this paper the notion of inverse cluster set, which was recently introduced and studied for functions by T. R. Hamlett and P. E. Long (Proc. Amer. Math. Soc, 53 (1975), 470-476), is extended to and investigated for multifunctions. We generalize the notion of inverse cluster set, extend to multifunctions and generalize some known results for inverse cluster sets of functions and offer some new results. In the latter sections, compactness generalizations are characterized in terms of inverse cluster sets and some results on connected and conectivity functions are extended to multifunctions.
DOI : 10.4153/CMB-1980-022-3
Mots-clés : 54C60, 54C10, 54D15, 54D20, 54D25, Multifunction, upper-semicontinuous, closed graph, inverse cluster set 
Joseph, James E. Multifunctions and Inverse Cluster Sets. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 161-171. doi: 10.4153/CMB-1980-022-3
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     year = {1980},
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     doi = {10.4153/CMB-1980-022-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-022-3/}
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