Glasnik matematički, Vol. 33 No. 1, 1998.
Original scientific paper
A new proof of a theorem concerning decomposable groups
Wojciech Chojnacki
Abstract
We give an elementary proof of the following result: If G is a compact non-zero Abelian group with dual isomorphic to a subgroup of Q, such that U ∪ (-U) = G \ G(2) and U ∩ (-U) = Ø for some open subset U ⊂ G, where G(2) = {a ∈ G : 2a = 0}, then G is topologically isomorphic with T.
Keywords
Compact; connected; decomposable; Abelian group
Hrčak ID:
8167
URI
Publication date:
1.6.1998.
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