Sets on which measurable functions are determined by their range

被引:10
作者
Burke, MR [1 ]
Ciesielski, K
机构
[1] Univ Prince Edward Isl, Dept Math & Comp Sci, Charlottetown, PE C1A 4P3, Canada
[2] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA
[3] Univ Toronto, Dept Math, Toronto, ON, Canada
来源
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1997年 / 49卷 / 06期
关键词
measurable function; measurable space with negligibles; continuous image; set of range uniqueness (SRU);
D O I
10.4153/CJM-1997-054-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study sets on which measurable real-valued functions on a measurable space with negligibles are determined by their range.
引用
收藏
页码:1089 / 1116
页数:28
相关论文
共 24 条
[1]  
BELLA A, 1990, BOLL UNIONE MAT ITAL, V4A, P121
[2]  
Berarducci A., 1993, Rend. Ist. Mat. Univ. Trieste, V25, P23
[3]  
BUCHI JR, 1954, FUND MATH, V41, P97
[4]  
BURKE MR, UNPUB SETS RANGE UNI
[5]  
CIESIELSKI K, 1994, MEM AM MATH SOC, V107, pR9
[6]  
CIESIELSKI K, MODEL NO MAGIC SET
[8]   SETS ON WHICH AN ENTIRE FUNCTION IS DETERMINED BY ITS RANGE [J].
DIAMOND, HG ;
POMERANCE, C ;
RUBEL, L .
MATHEMATISCHE ZEITSCHRIFT, 1981, 176 (03) :383-398
[9]   Partially ordered sets [J].
Dushnik, B ;
Miller, EW .
AMERICAN JOURNAL OF MATHEMATICS, 1941, 63 :600-610
[10]  
Engelking R., 1989, SIGMA SER PURE MATH, V6