| Autor: |
%2C+M%2E%22">Balcerzak<"a2">, M., Peredko, J., Pol, R. |
| Zdroj: |
Archiv der Mathematik; Oct1999, Vol. 73 Issue 4, p286-290, 5p |
| Abstrakt: |
We show that no Borel function on the hyperspace of a compact metric space X, selecting points from nonempty closed sets in X, can be injective on a residual set in the hyperspace. As a consequence, we show that a measure-theoretic analogue of the marriage theorem for finite sets, obtained by R. D. Mauldin [7], [3], fails in the Baire category setting. This answers a question from [1]. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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