More stratifiable function spaces |
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Authors: | Paul Gartside Feng Ziqin |
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Institution: | Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA |
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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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Keywords: | 54C35 54E20 54E50 54D45 |
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