Closedness of certain classes of functions in the topology of uniform convergence

J. K. Kohli; Jeetendra Aggarwal

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Closedness of certain classes of functions in the topology of uniform convergence

机译：Closedness of certain classes of functions in the topology of uniform convergence

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摘要

In this paper, closedness of certain classes of functions in Y X in the topology of uniform convergence is observed. In particular, we show that the function spaces SC ( X, Y ) of quasi continuous (≡semi-continuous) functions, C α ( X , Y ) of α -continuous functions and L ( X, Y ) of cl-supercontinuous functions are closed in Y X in the topology of uniform convergence.

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来源
《Demonstratio Mathematica》 |2013年第4期|947-952|共6页
作者
J. K. Kohli; Jeetendra Aggarwal;
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作者单位

Department of Mathematics, Hindu College, University of Delhi;

Department of Mathematics, University of Delhi;

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原文格式 PDF
正文语种英语
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关键词
semi open set; α-open set; cl-open set; uniform space; topology of uniform convergence;

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Closedness of certain classes of functions in the topology of uniform convergence

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