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Characterisation of functional properties by nets

Published online by Cambridge University Press:  17 April 2009

Carlos R. Borges
Carlos R. Borges
Affiliation:
Department of Mathematics, University of California, Davis, CA 95616, United States of America.
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Abstract

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We characterise continuous closed (perfect, open) functions in terms of nets. This enables us to improve some significant results, with much simpler proofs.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 335 - 338
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Dugundji, J., Topology (Allyn and Bacon, Boston, 1966).Google Scholar
[2]Ponomarev, V.I., ‘On spaces co-absolute with metric spaces’, Russian Math. Surveys 21 (1966), 87–114.CrossRefGoogle Scholar