•  
  •  
 

Document Type

Research

Abstract

Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine a binary relation Q between the elements of M by defining, for all members A and B of M, AQB if and only if α(A) ≤ α(B). Using such a binary relation, we may derive certain measure theoretic properties independently of the real number system. In particular, if we use what might be termed a process of completion, we may construct, from a system of Borel sets, not only a system of Lebesgue measurable sets, but, in general, a somewhat larger system.

Publication Date

1962

Journal Title

Proceedings of the Iowa Academy of Science

Volume

69

Issue

1

First Page

444

Last Page

445

Copyright

©1962 Iowa Academy of Science, Inc.

Language

en

File Format

application/pdf

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.