"pronilfactor" meaning in All languages combined

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        "2": "pro",
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      "expansion": "pro- + nilfactor",
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  ],
  "etymology_text": "From pro- + nilfactor.",
  "forms": [
    {
      "form": "pronilfactors",
      "tags": [
        "plural"
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  ],
  "head_templates": [
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      "args": {},
      "expansion": "pronilfactor (plural pronilfactors)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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          "parents": [
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          "source": "w"
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      "examples": [
        {
          "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": "quote"
        }
      ],
      "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~",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "ergodic",
          "ergodic"
        ],
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          "nilspace",
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        ],
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          "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"
      ]
    }
  ],
  "word": "pronilfactor"
}

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      "expansion": "pro- + nilfactor",
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  ],
  "etymology_text": "From pro- + nilfactor.",
  "forms": [
    {
      "form": "pronilfactors",
      "tags": [
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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": "quote"
        }
      ],
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        "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."
      ],
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          "mathematics",
          "mathematics"
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      "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."
      ],
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