Abstract:We introduce a common generalization of Boolean rings and lattice ordered groups called Vitali spaces and we give a version of Cafiero and BrooksJewett convergence Theorems for additive functions defined in a Vitali space with values in a Hausdorff commutative topological group.
We introduce asymptotically exhaustive functions defined on Vitali Spaces with values in a Hausdorff commutative topological group and we prove for them some classical convergence theorems.
We introduce asymptotically exhaustive functions defined on Vitali Spaces with values in a Hausdorff commutative topological group and we prove for them some classical convergence theorems.
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