A notion of weak convergence in metric spaces

Giuseppe Devillanova, Sergio Solimini, Cyril Tintarev

Published 2014-09-23Version 1

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.