Metrization Theorem for Uniform Loops with the Invertibility Property

Dagmar Markechová, Peter Vrábel, Beáta Stehlíková
2017 Mathematics  
In this paper, we have proved a metrization theorem that gives the sufficient conditions for a uniform IP-loop X to be metrizable by a left-invariant metric. It is shown that by consideration of topological IP-loop dual to X we obtain an analogical theorem for the case of the right-invariant metric.
doi:10.3390/math5020032 fatcat:xeggde7nwjbgdfxks7khp2czxa