Not every topological group with a countable network is a continuous homomorphic image of a topological group with a countable base
zbMath0613.22001MaRDI QIDQ1088787
Dmitrij B. Shakhmatov, Vladimir G. Pestov
Publication date: 1986
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
linear topological spaceFrechet spacecountable networktopological group topologyTikhonov spacecountable basefree topological abelian group
Structure of general topological groups (22A05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Topological fields, rings, etc. (topological aspects) (54H13) Other topological algebraic systems and their representations (22A30)
This page was built for publication: Not every topological group with a countable network is a continuous homomorphic image of a topological group with a countable base