Some remarks on the property (N) of Luzin

Alexander B. Kharazishvili

Published: 1995-09-29

Vol. 9 (1995)

Some remarks on the property (N) of Luzin

Alexander B. Kharazishvili

Abstract

We consider the classical property (N) of Luzin for various mappings in connection with a measure extension problem. We give some examples of Borel measurable mappings and of Lebesgue measurable mappings which transform all compact sets with measure zero into sets with measure zero but do not have the property (N) of Luzin.

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Kharazishvili, A. B. (1995). Some remarks on the property (N) of Luzin. Annales Mathematicae Silesianae, 9, 33–41. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14203

Vol. 9 (1995)
Published: 1995-09-29

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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