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

Demonstratio mathematica

article

J. K. Kohli¹  Jeetendra Aggarwal² 

[1] Department of Mathematics, Hindu College, University of Delhi;Department of Mathematics, University of Delhi

关键词: semi open set;    α-open set;    cl-open set;    uniform space;    topology of uniform convergence;   

DOI  :  10.1515/dema-2013-0413

学科分类：外科医学

来源: De Gruyter

【 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.

【 授权许可】

CC BY