Local Compactness in Set Valued Function Spaces
1976 ◽
Vol 19
(2)
◽
pp. 193-198
◽
Keyword(s):
Recently Hunsaker and Naimpally [2] have proved: The pointwise closure of an equicontinuous family of point compact relations from a compact T2-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].
Keyword(s):
1966 ◽
Vol 9
(3)
◽
pp. 349-352
◽
1975 ◽
Vol 18
(1)
◽
pp. 143-145
◽
1978 ◽
Vol 26
(2)
◽
pp. 251-256
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1985 ◽
Vol 28
(1)
◽
pp. 52-59
◽
1993 ◽
Vol 16
(1)
◽
pp. 101-109
◽