The regular open-open topology for function spaces
The regular open-open topology, Troo, is introduced, its properties for spaces of continuous functions are discussed, and Troo is compared to Too, the open-open topology. It is then shown that Troo on H(X), the collection of all self-homeomorphisms on a topological space, (X,T), is equivalent to the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000415 |
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| Summary: | The regular open-open topology, Troo, is introduced, its properties for spaces of
continuous functions are discussed, and Troo is compared to Too, the open-open topology. It is then
shown that Troo 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. |
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| ISSN: | 0161-1712 1687-0425 |