pronilfactor

P3R1O1N1I1L1F4A1C3T1O1R1

noun

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.

Scrabble 19
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounpronilfactor (plural pronilfactors)

plural pronilfactors

  1. mathematicsAn 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.

    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.

    2016, Yonatan Gutman, Freddie Manners, Péter P. Varjú, “The structure theory of Nilspaces III: Inverse limit representations and topological dynamics”, in arXiv

Origin

From pro- + nil- + factor.

Full word history & related roots →
Cite this entry
APA

pronilfactor. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/pronilfactor

MLA

“pronilfactor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/pronilfactor. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “pronilfactor,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/pronilfactor.

Source: pronilfactor on Wiktionary, CC BY-SA 4.0.