4 papers · 1 filter
Topological Transcendental Fields
Taboka Prince Chalebgwa, Sidney A. Morris
This article initiates the study of topological transcendental fields $\FF$ which are subfields of the topological field $\CC$ of all complex numbers such that $\FF$ consists of on…
A topological group observation on the Banach--Mazur separable quotient problem
Saak S. Gabriyelyan, Sidney A. Morris
The Banach-Mazur problem, which asks if every infinite-dimensional Banach space has an infinite-dimensional separable quotient space, has remained unsolved for 85 years, but has be…
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…
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…