Notes on Measure Theory. Part I. Lattices and Lattice Functionals.

Abstract

These notes represent an introduction to measure theory from the viewpoint of lattices and lattice functionals. The viewpoint followed here is not at all new; it goes back at least as far as a paper by Caratheodory in 1938, and was advanced considerably in the original (1940) edition of Garrett Birkhoff's Lattice Theory. The material is simply an abstraction of that part of point set theory usually described as measure theory.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1951
Accession Number
AD0895062

Entities

People

  • B. J. Pettis

Organizations

  • Tulane University of Louisiana

Tags

DTIC Thesaurus Topics

  • Materials
  • Measure Theory
  • Set Theory

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.