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Discontinuous extensions and almost resolvability |
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| Authors: | D Landers L Rogge |
| Institution: | 1. Mathematisches Institut der Universit?t zu K?ln, Weyertal 86 D, 50931, K?ln 2. Fachbereich Mathematik der Gerhard-Mercator, Universit?t GHS, Duisburg Lotharstr 65, D-47048, Duisburg |
| Abstract: | It is proven that in large classes of topological spaces each real-valued continuous function on aG δ-setG has an extension to the whole space which is continuous exactly at the points ofG. AmongG δ-spaces this property characterizes the almost resolvable normal spaces. |
| Keywords: | 1991 Mathematics Subject Classification" target="_blank">1991 Mathematics Subject Classification Primary 54C05 Secondary 54C20 54C30 |
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