A notion of weak convergence in metric spaces
Functional Analysis
2016-01-14 v2
Abstract
We discuss some basic properties of polar convergence in metric spaces. Polar convergence is closely connected with the notion of Delta-convergence of T.C. Lim known for several years. Possible existence of a topology which induces polar convergence is also investigated. Some applications of polar convergence follow.
Cite
@article{arxiv.1409.6463,
title = {A notion of weak convergence in metric spaces},
author = {Giuseppe Devillanova and Sergio Solimini and Cyril Tintarev},
journal= {arXiv preprint arXiv:1409.6463},
year = {2016}
}