"pronilfactor" meaning in English

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  "etymology_text": "pro- + nilfactor",
  "forms": [
    {
      "form": "pronilfactors",
      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "2016, Yonatan Gutman, Freddie Manners, Péter P. Varjú, “The structure theory of Nilspaces III: Inverse limit representations and topological dynamics”, in arXiv",
          "text": "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.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "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."
      ],
      "id": "en-pronilfactor-en-noun-X5ka1jB~",
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        [
          "mathematics",
          "mathematics"
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        [
          "ergodic",
          "ergodic"
        ],
        [
          "nilspace",
          "nilspace"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "nilsystem",
          "nilsystem"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "mathematics",
        "sciences"
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    }
  ],
  "word": "pronilfactor"
}

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  ],
  "etymology_text": "pro- + nilfactor",
  "forms": [
    {
      "form": "pronilfactors",
      "tags": [
        "plural"
      ]
    }
  ],
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          "ref": "2016, Yonatan Gutman, Freddie Manners, Péter P. Varjú, “The structure theory of Nilspaces III: Inverse limit representations and topological dynamics”, in arXiv",
          "text": "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.",
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      ],
      "glosses": [
        "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."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "ergodic",
          "ergodic"
        ],
        [
          "nilspace",
          "nilspace"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "nilsystem",
          "nilsystem"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "mathematics",
        "sciences"
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  "word": "pronilfactor"
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