Uniform equicontinuity and Namioka and Scorza-Dragoni properties (in Ukrainian) |
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| Author |
Yuriy Fedkovych Chernivtsi National University
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| Abstract |
We establish conditions under which families of uniformly
continuous mappings
are uniformly equicontinuous on sets, large in the topological sense
or in the sense of measure sets. The obtained results are applied
to the investigation of properties of
Namioka and Scorza-Dragoni.
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| Keywords |
uniformly continuous mappings, uniformly equicontinuous families, large sets, topological largeness, measure largeness, Namioka property, Scorza-Dragoni property
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| DOI |
doi:10.30970/ms.12.2.208-212
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Reference |
1. Гайдукевич О.I., Маслюченко В.К. Одне узагальнення теореми Скорца-Драєонi Чернiвець. ун-т. – Чернiвцi, 1996. – 9 с. – Деп. в ДНТБ Укран̈и, № 2030-Ук96.
2. Van Vleck E.B. A proof of some theorems on pointwise discontinuous functions Trans. Amer. Math. Soc. – 1907. – V.8. – P.189–204. 3. Hahn H. Theorie der reellen Funktionen. Bd.1. – Berlin: Verlag J. Springer, 1921. – VIII+600 S. 4. Breckenridge J.C., Nishiura T. Partial continuity, quasicontinuity and Baire spaces Bull. Math. Acad. Sinica. – 1976. – V.4, № 2. – P.191–203. 5. Маслюченко В.К. Сукупна неперервнiсть нарiзно неперервних вiдображень Крайовi задачi з рiзними виродженнями i особливостями. Зб. наук. праць. – Чернiвцi, 1990. – С.143–159. 6. Kucia A. Scorza-Dragoni type theorems Fund. Math. – 1991. – V.138. – P.197–203. 7. Окстоби Дж. Мера и категория. – М.: Мир, 1974. – 158 с. 8. Stone A.H. Lusin's theorem Atti Sem. Mat. Fis. Univ. Modena. – 1996. – V.44. – P.351–357. |
| Pages |
208-212
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| Volume |
12
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| Issue |
2
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |