Measure on a Lattice of Infinite Tuples of Real Numbers

Norris Sookoo

Abstract

We consider the analogue of measure on a ring of sets, by defining a lattice-measure on a lattice-ring of elements of a lattice of infinite tuples of real numbers. We obtain various results about the convergence of sequences of tuples in the lattice with respect to the lattice-measure and use these results to show that the limit of a convergent sequence in a lattice sigma-ring is also in the lattice sigma-ring under certain conditions.

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Pan-Amer. J. Math. 3 (2024), 6
DOI: https://doi.org/10.28919/cpr-pajm/3-6
This article was published on March 15, 2024 by Mathyze, under a Creative Commons Attribution 4.0 International License.