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Local Compactness in Set Valued Function Spaces

Published online by Cambridge University Press:  20 November 2018

Saroop K. Kaul
Saroop K. Kaul*
Affiliation:
University of Regina, Regina, Saskatchewan
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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].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 2 , 01 June 1976 , pp. 193 - 198
Copyright
Copyright © Canadian Mathematical Society 1976

References

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