The open-open topology for function spaces
Let (X,T) and (Y,T*) be topological spaces and let F⊂YX. For each U∈T, V∈T*, let (U,V)={f∈F:f(U)⊂V}. Define the set S∘∘={(U,V):U∈T and V∈T*}. Then S∘∘ is a subbasis for a topology, T∘∘ on F, which is called the open-open topology. We compare T∘∘ with other topologies and discuss its properties. We...
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| Hlavní autor: | |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
Wiley
1993-01-01
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| Edice: | International Journal of Mathematics and Mathematical Sciences |
| Témata: | |
| On-line přístup: | http://dx.doi.org/10.1155/S0161171293000134 |
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