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Note on duality of Kelleyspace products

Published online by Cambridge University Press:  17 April 2009

B.J. Day
B.J. Day
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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Abstract

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It has been shown by W.F. LaMartin that the Pontryagin dual of a k-space product of Hausdorff abelian k-groups is the coproduct of their duals. Here we offer a different proof, based partly on LaMartin's, that the dual of a product is the coproduct of the duals in a more general setting.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 2 , October 1978 , pp. 273 - 275
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Day, Brian, “On closed categories of functors”, Reports of the Midwest Category Seminar IV, 1–38 (Lecture Notes in Mathematics, 137. Springer-Verlag, Berlin, Heidelberg, New York, 1970).Google Scholar
[2]LaMartin, W.F., “Pontryagin duality for products and coproducts of abelian k-groups”, Rocky Mountain J. Math. 7 (1977), 724–731.Google Scholar