英和和英

名詞

pronilfactor (複数形 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 ${\displaystyle H}$ is a group (subject to very mild topological assumptions) and ${\displaystyle (H,X)}$ is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of ${\displaystyle X}$.