- 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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