The obstruction to the localizability of a measure space
Open Access
- 1 January 1965
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 71 (2) , 353-356
- https://doi.org/10.1090/s0002-9904-1965-11292-7
Abstract
This paper, an outgrowth of the author's doctoral dissertation,2 pre sents a necessary and sufficient condition, of a cohomological nature, for a measure space to be localizable in the sense of Segal. 3 In order to state the main theorem, we must fix some terminology and estab lish some notation. 1. Definitions. 4 A measure space (Xt R, m) consists of a set X, a boolean ring R of subsets of Xt and a finite, nonnegative, finitely additive measure m on R subject to the requirement:Keywords
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