The regular open-open topology for function spaces

Kathryn F. Porter

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-4

Abstract:

The regular open-open topology, T r o o , is introduced, its properties for spaces of continuous functions are discussed, and T r o o is compared to T o o , the open-open topology. It is then shown that T r o o on H ( X ) , the collection of all self-homeomorphisms on a topological space, ( X , T ) , is equivalent to the topology induced on H ( X ) by a specific quasi-uniformity on X , when X is a semi-regular space.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:912901

DOI: 10.1155/S0161171296000415

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