ANALOGUES OF TRANSITIVENESS AND DECOMPOSITION OF CONTINUITY

Volodymyr Maslyuchenko; Vasyl Nesterenko

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ANALOGUES OF TRANSITIVENESS AND DECOMPOSITION OF CONTINUITY

机译：过渡性和连续性的分解

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摘要

We consider two conditions that weaken the closed graph condition, and we study their properties. We show that if X is a locally connected Baire space, Y is a separable metrizable space and f : X → Y is a w~* quasi-continuous, almost continuous and weakly Darboux function, then f is continuous.

机译：我们考虑削弱闭合图条件的两个条件，并研究它们的性质。我们表明，如果X是局部连通的Baire空间，Y是可分离的可量化空间，而f：X→Y是w〜*近似连续，几乎连续且弱的Darboux函数，则f是连续的。

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来源
《Real analysis exchange》 |2015年第2期|355-370|共16页
作者
Volodymyr Maslyuchenko; Vasyl Nesterenko;
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作者单位

Department of Mathematical Analysis, Chernivtsi National University, 58012 Chernivtsi, Ukraine;

Department of Mathematical Analysis, Chernivtsi National University, 58012 Chernivtsi, Ukraine;

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原文格式 PDF
正文语种 eng
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关键词
decomposition of continuity; closed graph; transitional mapping; locally W~* continuous; locally relative continuous; almost continuity; Darboux properties;

机译：连续性分解封闭图过渡映射局部W〜*连续;局部相对连续几乎是连续的;达布房地产;

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3. Some new sets and decompositions of A I-R-continuity, α-I-continuity, continuity via idealization [J] . A. A?ikg?z, ?. Yuksel Acta Mathematica Hungarica . 2007,第1a2期

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7. Relative Continuity and New Decompositions of Continuity in Bitopological Spaces [O] . S. A. Alblowi 2014

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ANALOGUES OF TRANSITIVENESS AND DECOMPOSITION OF CONTINUITY

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