pronilfactor

English

Etymology

pro- +‎ nilfactor

Noun

pronilfactor (plural pronilfactors)

1. (mathematics) An ergodic nilspace X/R(X) such that there exists an element x of X and a homomorphism H such that (H,X) is a nilsystem.
   • 2016, Yonatan Gutman, Freddie Manners, Péter P. Varjú, “The structure theory of Nilspaces III: Inverse limit representations and topological dynamics”, in arXiv‎^[1]:

     Specifically, if $H$ is a group (subject to very mild topological assumptions) and $(H,X)$ is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of $X$.