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