Abstract:A subset D of R is called to have property L, if there is a Lebesgue number for every family of open interval covering D. In this paper, we prove that a continuous function defined on a subest D with ...A subset D of R is called to have property L, if there is a Lebesgue number for every family of open interval covering D. In this paper, we prove that a continuous function defined on a subest D with property L of R is uniformly continuous. This improve a result on uniform continuity of functions, and we obtain that continuous functions defined on compact subsets of R(closed intervals) are uniformly continuous.Read More
Publication Year: 2003
Publication Date: 2003-01-01
Language: en
Type: article
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