Accession Number : AD0263800

Title :   ANALYTIC THEORY OF CONTINUOUS TRANSFORMATIONS. I

Corporate Author : PURDUE RESEARCH FOUNDATION LAFAYETTE IND

Personal Author(s) : MISHIURA,TOGO

Report Date : AUG 1959

Pagination or Media Count : 1

Abstract : An analysis of the theory of continuous transformations is made. It concerns the analog of the Geocze area of mappings from specific subsets of Euclidean K-space, E sub K, and Euclidean N-space, E sub n. By use of combinatorial topology and algebraic topology the notion of polyhedral regions is defined. Theorems and proofs of constructions of certain polyhedral regions are presented.

Descriptors :   *FUNCTIONS(MATHEMATICS), ALGEBRAIC TOPOLOGY, COMBINATORIAL ANALYSIS, COMPLEX NUMBERS, INTEGRALS, SCHEDULING, THEORY, TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE