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Free Topological Groups and Dimension

Free Topological Groups and Dimension

For a completely regular space X we denote by F(X) and A(X) the free topological group of X and the free Abelian topological group of X, respectively, in the sense of Markov and Graev.Let X and Y be locally compact metric spaces with either A(X) topologically isomorphic to A(Y) or …