Completeness in Probabilistic Metric Spaces
Functional Analysis
2018-01-16 v1
Abstract
In this paper, we present the Cantor Intersection Theorem and a formulation of Baire Theorem in complete PM spaces. In addition, the Heine-Borel property for PM spaces is considered in detail.
Cite
@article{arxiv.1801.04575,
title = {Completeness in Probabilistic Metric Spaces},
author = {Delavar Varasteh Tafti and Mahdi Azhini},
journal= {arXiv preprint arXiv:1801.04575},
year = {2018}
}