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A new proof of a theorem concerning decomposable groups

Wojciech Chojnacki


Puni tekst: engleski pdf 395 Kb

str. 13-17

preuzimanja: 343

citiraj


Sažetak

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.

Ključne riječi

Compact; connected; decomposable; Abelian group

Hrčak ID:

8167

URI

https://hrcak.srce.hr/8167

Datum izdavanja:

1.6.1998.

Posjeta: 907 *