Borel functions and separability of metric spaces |
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Authors: | Kai Gu |
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Institution: | 1.School of Mathematical Sciences,Nankai University,Tianjin,China |
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Abstract: | Let X and Y be metric spaces with X separable, and let \(f: X\rightarrow Y\) be a Borel function. Is then f(X) separable? In this paper, we prove that this problem is independent of ZFC. We also give a partial answer to an open problem which was asked by A. H. Stone. |
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