Authors: Popa V.
Abstract
Let $X$ and $Y$ be arbitrary locally compact abelian groups and let $H(X,Y)$ denote the group of all continuous homomorphisms from $X$ to $Y$, endowed with the compact-open topology. We investigate here when $H(X,Y)$ is connected and when it is totally disconnected.
Institutul de Matematică al Academiei de Ştiinţe din Moldova
str. Academiei 5, Chişinău, MD-2028 Moldova