Abstract
We prove that the set of all continuous mappings of $[0,1]^n$ to ${R}^n$ with Luzin's property (N) with respect to Lebesgue measure is a coanalytic non-Borel and first category subset of the space of all continuous mappings. Some generalizations, e.g. to cases of other Radon or Hausdorff measures are given.
Citation
P. Holický. S. P. Ponomarev. L. Zajíček. M. Zelený. "Structure of the Set of Continuous Functions with Luzinʼs Property (N)." Real Anal. Exchange 24 (2) 635 - 656, 1998/1999.
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