Results 131 to 140 of about 57,146 (152)

EMBEDDING OF THE FREE ABELIAN TOPOLOGICAL GROUP INTO

Mathematika, 2019
We consider the following question: for which metrizable separable spaces does the free abelian topological group isomorphically embed into . While for many natural spaces such an embedding exists, our main result shows that if is a Cook continuum or is a rigid Bernstein set, then does not embed into as a topological subgroup.
Mikołaj Krupski, Arkady Leiderman, Sidney Morris   +2 more
openaire   +1 more source

The free abelian topological group as a subgroup of the free locally convex topological vector space

Journal of Group Theory, 2003
An invariant pseudometric \(\rho\) on an abelian group \(G\) is said to have the Enflo property provided \(\forall_{x\in G}[\rho(x^2,e)=2\rho(x,e)].\) It is proved that a Hausdorff abelian group can be embedded as a topological subgroup in a locally convex Hausdorff topological vector space \(\Leftrightarrow\) the topology of \(G\) is generated by a ...
openaire   +2 more sources

Elementary theories of complete torsion-free Abelian groups with p-ary topology

Mathematical Notes of the Academy of Sciences of the USSR, 1973
The complete torsion-free Abelian groups are investigated as dibasic RPC models whose second basic set comprises subgroups forming a chain with factors of order p. Two theorems about the elementary theories of classes of such models are proved.
openaire   +2 more sources

Experimental observation of non-Abelian topological charges and edge states

Nature, 2021
Qinghua Guo, Jiang, Tianshu, Ruo-Yang Zhang   +2 more
exaly  

Engineered platforms for topological superconductivity and Majorana zero modes

Nature Reviews Materials, 2021
Karsten Flensberg, Felix von Oppen, Ady Stern   +2 more
exaly  

Four-band non-Abelian topological insulator and its experimental realization

Nature Communications, 2021
Jiang, Tianshu, Qinghua Guo, Ruo-Yang Zhang   +2 more
exaly  

Shortest Route to Non-Abelian Topological Order on a Quantum Processor

Physical Review Letters, 2023
Nathanan Tantivasadakarn, Ruben Verresen
exaly  

Experimental observation of non-Abelian topological acoustic semimetals and their phase transitions

Nature Physics, 2021
Adrien Bouhon, Zhi-Kang Lin, Feng Li
exaly  

Countably compact group topologies on torsion-free Abelian groups

2023
openaire   +1 more source

A Free Subgroup of the Free Abelian Topological Group on the unit Interval

Bulletin of the London Mathematical Society, 1982
Katz, Eli, Morris, Sidney A., Nickolas, Peter   +2 more
openaire   +3 more sources