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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000134 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|