Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661214 | Topology and its Applications | 2007 | 5 Pages |
Abstract
If X is a compact-covering image of a closed subspace of product of a σ-compact Polish space and a compact space, then Ck(X,M), the space of continuous maps of X into M with the compact-open topology, is stratifiable for any metric space M.If X is σ-compact Polish, K is compact and M metric then every point of Ck(X×K,M) has a closure-preserving local base, and hence this function space is M1.
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