A density property and applications
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- by Richard J. O’Malley PDF
- Trans. Amer. Math. Soc. 199 (1974), 75-87 Request permission
Abstract:
An unexpected metric density property of a certain type of ${F_\sigma }$ set is proven. An immediate application is a characterization of monotone functions similar to a well-known result by Zygmund. Several corollaries of this characterization are given as well as a simple proof of a theorem due to Tolstoff.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 199 (1974), 75-87
- MSC: Primary 26A48
- DOI: https://doi.org/10.1090/S0002-9947-1974-0360955-X
- MathSciNet review: 0360955