(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 101-108

## Strongly countable-dimensional resolvents of sigma-compact groups

M. M. Zarichny

Abstract

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 For every topological group $H$ which is a $Q^\infty$-manifold there exists a topological group which is an $\mathbb R^\infty$-manifold and can be mapped onto $H$ by a homomorphism satisfying some sufficiently strong softness conditions. 

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