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On Lie groups in varieties of topological groups

100%

Morris S. A., Pestov V.

Colloquium Mathematicum

1998

tom 78

nr 1

39-47

On a universality property of some abelian Polish groups

100%

Gao S., Pestov V.

Fundamenta Mathematicae

2003

tom 179

nr 1

1-15

We show that every abelian Polish group is the topological factor group of a closed subgroup of the full unitary group of a separable Hilbert space with the strong operator topology. It follows that all orbit equivalence relations induced by abelian Polish group actions are Borel reducible to some orbit equivalence relations induced by actions of the unitary group.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

2 Pestov V.

1 Gao S.

1 Morris S. A.

1 2003

1 1998

Wyniki wyszukiwania

On Lie groups in varieties of topological groups

On a universality property of some abelian Polish groups