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A notion of weak convergence in metric spaces

Profile image of Giuseppe DevillanovaGiuseppe Devillanova

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.

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  39. Bari, Italy sergio.solimini@poliba.it, Politecnico di Bari, via Amendola, 126/B, 70126 Bari, Italy tintarev@math.uu.se, Uppsala University, box 480, 761 06 Uppsala, Sweden

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