RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.3 (25), 1997/

Connectivity in homomorphism groups. (English)

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