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The category of uniform convergence spaces is cartesian closed

Published online by Cambridge University Press:  17 April 2009

R.S. Lee
R.S. Lee
Affiliation:
Department of Mathematics, Duquesne University, Pittsburgh, Pennsylvania, USA.
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Abstract

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This paper first assigns specific uniform convergence structures to the products and function spaces of pairs of uniform convergence spaces, and then establishes a bijection between corresponding sets of morphisms which yields cartesian closedness.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 461 - 465
Copyright
Copyright © Australian Mathematical Society 1976

References

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