Symmetric continuity of real functions-Reference-Cited by-同舟云学术

Symmetric continuity of real functions

Published:1983 Issue:1 Volume:87 Page:99-102
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Belna C. L.

Abstract

It is shown that the set of points where a real function is both symmetrically continuous and not continuous has inner measure zero but may have full outer measure.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-01/S0002-9939-1983-0677241-1/S0002-9939-1983-0677241-1.pdf

Reference5 articles.

1. Some remarks on subgroups of real numbers;Erdős, Paul;Colloq. Math.,1979

2. H. Fried, Über die symmetrische Stetigkeit von Funktionen, Fund. Math. 29 (1937), 134-137.

3. F. Hausdorff, Probléme #62, Fund. Math. 25 (1935), 578.

4. A note on symmetrically continuous functions;Preiss, David;\v{C}asopis P\v{e}st. Mat.,1971

5. On the differentiability of functions;Stein, E. M.;Studia Math.,1963

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