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Closed structures on the category of topological spaces determined by systems of filters

Published online by Cambridge University Press:  17 April 2009

Maria Cristina Pedicchio
Maria Cristina Pedicchio
Affiliation:
Istituto Matematica, Universita di Trieste, Piazzale Europa I, Trieste, Italy.
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Abstract

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We give a characterization of monoidal closed structures, “determined by systems of filters” on the category of topological spaces and continuous maps. The method we use to introduce suitable topologies on the product set X × Y of spaces X and Y, and on the set of all continuous maps from X to Y, is essentially that of Wilker.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 2 , October 1983 , pp. 161 - 174
Copyright
Copyright © Australian Mathematical Society 1983

References

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