Measure on a Lattice of Infinite Tuples of Real Numbers

Sookoo, Norris

doi:10.28919/cpr-pajm/3-6

Research article

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.

How to cite

N. Sookoo, Measure on a Lattice of Infinite Tuples of Real Numbers, Pan-Amer. J. Math. 3 (2024), 6. https://doi.org/10.28919/cpr-pajm/3-6

BibTeX

@article{Sookoo2024,
  author  = {Sookoo, Norris},
  title   = {Measure on a Lattice of Infinite Tuples of Real Numbers},
  journal = {Pan-Amer. J. Math.},
  volume  = {3},
  year    = {2024},
  pages   = {6},
  doi     = {10.28919/cpr-pajm/3-6}
}