An example of a non-Borel locally-connected finite-dimensional topological group
According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of dimension $\dim(G)=n$, which is not locally compact....
Main Authors: | I.Ya. Banakh, T.O. Banakh, M.I. Vovk |
---|---|
Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2017-06-01
|
Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1440 |
Similar Items
-
Categorically Closed Topological Groups
by: Taras Banakh
Published: (2017-07-01) -
A Topological Uniqueness Result for the Special Linear Groups
by: Opalecky, Robert Vincent
Published: (1997) -
Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
by: Karl H. Hofmann, et al.
Published: (2021-08-01) -
NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES
by: Z. Nazari, et al.
Published: (2019-09-01) -
Minimality of the Special Linear Groups
by: Hayes, Diana Margaret
Published: (1997)