Preprint
Sep 2026
Measure theory without infinities
The aim of this paper is to develop a framework for measure theory that avoids infinities and allows for the uniform treatment of positive and vector measures. Our approach is based on a modification of the notion of measure, which supplements the usual $\sigma$-additivity requirement with a suitable maximality conditi...
A. G. Smirnov, M. Smirnov
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