Preservation of completeness by some continuous maps |
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Authors: | Petr Holický |
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Institution: | Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis, 186 75 Prague 8, Czech Republic |
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Abstract: | We show that a metrizable space Y is completely metrizable if there is a continuous surjection f:X→Y such that the images of open (clopen) subsets of the (0-dimensional paracompact) ?ech-complete space X are resolvable subsets of Y (in particular, e.g., the elements of the smallest algebra generated by open sets in Y). |
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Keywords: | 54C10 54H05 54E50 54D20 |
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