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A Stone Space Approach to the Existence of Bounded Common Extensions

✍ Scribed by E D'Aniello; K.P.S Bhaskara Rao; R.M Shortt

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
188 KB
Volume
219
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let A A and B B be fields of subsets of a set X and let : A A Βͺ R and : B B Βͺ R Ε½ . be bounded, finitely additive measures i.e., charges . We give global necessary and sufficient conditions on A A and B B under which any bounded, consistent charges and have a bounded common extension. Conditions on A A and B B are given under which any 0᎐1 valued charges and have an integer valued common extension. Our results, together with Example 4.4 infra, serve to answer open questions left unresolved by A. Basile, K.

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