FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(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 $$R^∞-manifold and can be mapped onto $H$ by a homomorphism satisfying some sufficiently strong softness conditions.

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Last modified: April 8, 1998