3 papers
math.GN2025
Topologically independent sets in topological groups and vector spaces
Jan Spěvák
We study topological versions of an independent set in an abelian group and a linearly independent set in a vector space, a {\em topologically independent set} in a topological gro…
math.GN2020
Topological groups with invariant linear spans
Eva Pernecká, Jan Spěvák
Given a topological group that can be embedded as a topological subgroup into some topological vector space (over the field of reals) we say that has invariant linear span…
math.GN2017
Topologically independent sets in precompact groups
Jan Spevak
It is a simple fact that a subgroup generated by a subset of an abelian group is the direct sum of the cyclic groups , if and only if the set is…