ON SECTION SETS OF NEIGHBORHOODS OF GRAPHS OF SEMICONTINUOUS FUNCTIONS

作     者：Pokorny, Dusan 

作者机构：Charles Univ Prague Inst Math Fac Math & Phys Sokolovska 83 Prague 18675 8 Czech Republic 

出 版 物：《REAL ANALYSIS EXCHANGE》 

年 卷 期：2010年第36卷第2期

页      面：471-478页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：purely unrectifiable set semicontinuous function 

摘      要：We prove that for any lower semicontinuous function f : [0, 1] - [0, 1] with purely unrectifiable graph and for any epsilon 0 there is an open set U superset of graph f with every vertical section set of one-dimensional Lebesgue measure at most epsilon.