According to the standard definition (see, e.g., Exercise 4 of Chap. 19 ), a topological space E is called universal measure zero (or, briefly, absolute null) if there exists no nonzero \(\sigma \) -finite Borel continuous measure on E.

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Uniformization of Plane Sets by Relatively Measurable Functions

  • Alexander Kharazishvili

摘要

According to the standard definition (see, e.g., Exercise 4 of Chap. 19 ), a topological space E is called universal measure zero (or, briefly, absolute null) if there exists no nonzero \(\sigma \) -finite Borel continuous measure on E.