%0 Journal Article
%T On characterization of locally $L^0$-convex topologies induced by a family of $L^0$-seminorms
%A Jos¨¦ Miguel Zapata Garc¨ªa
%J Mathematics
%D 2014
%I arXiv
%X The purpose of this paper is to provide a characterization of the topological $L^0$-modules whose topology is induced by a family of $L^0$-seminorms using the gauge function for $L^0$-modules. Taking advantage of these ideas we will give a counterexample of a locally $L^0$-convex module whose topology is not induced by a family of $L^0$-seminorms.
%U http://arxiv.org/abs/1404.0357v4