Accession Number : AD0707771

Title :   GEOGRAPHY AND THE PROPERTIES OF SURFACES. THE DETERMINATION OF FIXED-POINTS IN FINITE-DIMENSIONAL SPACES.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS

Personal Author(s) : Lindgren,C. Ernesto S.

Report Date : 03 JUN 1970

Pagination or Media Count : 19

Abstract : L.E.J. Brouwer's fixed-point theorem proves the existence of a fixed-point in a finite-dimensional space which is both convex and bounded, but provides no means of determining its position. For the case of a one-dimensional space, Marvin Shinbrot uses a graphical solution which can also be accepted as a proof for the theorem. This paper extends Shinbrot's solution to any number of dimensions. (Author)

Descriptors :   (*GEOGRAPHY, SURFACES), (*GEOMETRY, THEOREMS), GRAPHICS, CONVEX SETS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE