Geodesic
Local Compactness in Set Valued Function Spaces
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 193-198

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

Recently Hunsaker and Naimpally [2] have proved: The pointwise closure of an equicontinuous family of point compact relations from a compact T 2-space to a locally compact uniform space is locally compact in the topology of uniform convergence. This is a generalization of the same result of Fuller [1] for single valued continuous functions.For a range space which is locally compact normal and uniform theorem B below is an improvement on the result of Hunsaker and Naimpally quoted above [see Remark 3 at the end of this paper]. 
Kaul, Saroop K. Local Compactness in Set Valued Function Spaces. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 193-198. doi: 10.4153/CMB-1976-029-2
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