The exponential function of locally connected compact Abelian groups

Title: The exponential function of locally connected compact Abelian groups
Creator: Hofmann, Karl; Morris, Sidney; Poguntke, D.
Date: 2004
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/53922
Identifier: vital:415
Identifier: https://doi.org/10.1515/form.2004.004
Identifier: ISSN:0933-7741
Abstract: It is shown that the following four conditions are equivalent for a compact connected abelian group G :(i)the exponential function of G is open onto its image;(ii)G has arbitrarily small connected direct summands N such that G =N is a .nite dimensional torus;(iii)the arc component G[suba] of the identity is locally arcwise connected;(iv)the character group G G is a torsion free group in which every .nite rank pure subgroup is free and is a direct summand.; C1
Publisher: Walter De Gruyter & Co
Relation: Forum Mathematicum Vol. 16, no. 1 (2004), p. 1-16
Rights: Copyright Walter De Gruyter & Co
Rights: This metadata is freely available under a CCO license
Subject: 0101 Pure Mathematics; Mathematics; Applied mathematics; Abelian topological group; Exponential function; Isomorphisms (Mathematics); Categories (Mathematics)
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