Accession Number : AD0620102
Title : ARCS AND CHORDS, II.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Besicovitch,A. S.
Report Date : JUL 1965
Pagination or Media Count : 16
Abstract : The simple arcs of Hausdorff dimension h> 1 are studied from the point of view of the limits of the ratio: (lambda to the hth power) J(v,v')/absolute value (v-v') to the hth power, as v' approaches v, where J(v, v') is the arc between v and v'. The bounds of various densities at points of arcs are given. It is shown that in all cases but one the bounds are exact. (Author)
Descriptors : (*MEASURE THEORY, SET THEORY), GEOMETRY, FUNCTIONAL ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE