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Categorical characterization of uniform hyperspaces

Published online by Cambridge University Press:  24 October 2008

J. M. Harvey
Affiliation:
Department of Mathematics, University of Zimbabwe, Mount Pleasant, Zimbabwe

Extract

In this paper, we use categorical methods to arrive at a characterization of Hausdorff hyperspaces of separated uniform spaces within a category of ordered uniform spaces. We begin by showing that the hyperspace construction gives rise to a monad H in the category Uni of non-empty separated uniform spaces and uniformly continuous maps. We then identify the category of H-algebras and characterize hyperspaces in this context.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

(1)Hitchcock, A. G. Hyperspaces of uniform spaces. Thesis, Keele University, 1971.Google Scholar
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