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Jan Baars -GKEL=A?A B ?AHJ=E BHAA JFCE?= CHKFI

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Jan Baars

Equivalence of certain free topological groups

Comment.Math.Univ.Carolinae 33,1 (1992) 125-130.

Abstract: In this paper we give a complete isomorphical classification of free topological groups F M(X) of locally compact zero-dimensional separable metric spacesX. From this classification we obtain for locally compact zero-dimensional separable metric spaces X and Y that the free topological groups F M(X) and F M(Y) are isomorphic if and only ifCp(X) andCp(Y) are linearly homeomorphic.

Keywords: free topological groups, function spaces

AMS Subject Classification: Primary 22A05; Secondary 54C35

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