International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 3, Pages 461-472
Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets
Department of Mathematics, Long Island University, Brooklyn 11201, NY, USA
Received 24 February 1994; Revised 28 April 1995
Copyright © 1996 P. D. Stratigos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Consider any set . A finitely subadditive outer measure on is defined to be
a function from to such that and is increasing and finitely subadditive. A finitely
superadditive inner measure on is defined to be a function from to such that and is increasing and finitely superadditive (for disjoint unions) (It is to be noted that every finitely
superadditive inner measure on is countably superadditive).
This paper contributes to the study of finitely subadditive outer measures on and finitely superadditive inner measures on and their measurable sets.