A LOWER BOUND FOR THE DELTA-NIELSEN NUMBER,

Abstract

This paper is concerned with the number of solutions of three kinds of equations. Let f,g : X approaches Y and h : X approaches X be maps, and let y sub 0 be a member of Y. The equations we will study are (1) f(x) = g(x), (2) f(x) = y sub 0, and (3) h(x) = x. In a previous paper, the first author defined a lower bound N for the number of solutions of these equations which remains such a lower bound when f,g, and h are moved through homotopies. The number N is called the Delta-Nielsen number of the equation.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1967
Accession Number
AD0656306

Entities

People

  • Robert F. Brown
  • Robin B. S. Brooks

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • California
  • Continents
  • Cooperation
  • Equations
  • Geographic Regions
  • Geometry
  • Group Dynamics
  • Mathematics
  • North America
  • Psychology

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Nanocomposite Materials Science