3 papers
math.GN2017
The Separable Quotient Problem for Topological Groups
Arkady G. Leiderman, Sidney A. Morris, Mikhail G. Tkachenko
The famous Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient Banach space, has remained unsolved for 85 yea…
math.GN2016
Free topological vector spaces
Saak S. Gabriyelyan, Sidney A. Morris
We define and study the free topological vector space over a Tychonoff space . We prove that is a -space if and only if is a -space…
math.GR2015
Pro-Lie Groups: A survey with Open Problems
Karl H. Hofmann, Sidney A. Morris
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the…