Word.ws English Dictionary

pronilfactor

pronilfactor 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.

Noun

pronilfactor (plural pronilfactors)

  1. 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.
    • 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

Forms of pronilfactor

pluralpronilfactors

Origin of pronilfactor

From pro- + nil- + factor.

Questions about pronilfactor

What does pronilfactor mean?
Pronilfactor means 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.
What part of speech is pronilfactor?
Pronilfactor is a noun.
What is the plural of pronilfactor?
The plural of pronilfactor is pronilfactors.

Words near pronilfactor in the dictionary

  1. pronging
  2. pronglike
  3. prongs
  4. prongy
  5. pronic
  6. pronilfactor
  7. pronilfactors
  8. proning
  9. proning out
  10. pronings
  11. proniosomal

Source and license

Adapted from Wiktionary: pronilfactor (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

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