On nilspace systems and their morphisms

• Published in: Ergodic theory and dynamical systems Vol. 40; no. 11; pp. 3015 - 3029
• Main Authors: CANDELA, PABLO, GONZÁLEZ-SÁNCHEZ, DIEGO, SZEGEDY, BALÁZS
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.11.2020
• Subjects: Original Article; Theorems; Translations; nilsystems; 54H20; compact nilspaces; morphisms; 37B99; nilspace systems

A nilspace system is a generalization of a nilsystem, consisting of a compact nilspace $\text{X}$ equipped with a group of nilspace translations acting on $\text{X}$. Nilspace systems appear in different guises in several recent works and this motivates the study of these systems per se as well as t...