"properad" meaning in All languages combined

{
  "forms": [
    {
      "form": "properads",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "properad (plural properads)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Sergei Merkulov, Thomas Willwacher, “Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves”, in arXiv",
          "text": "If a properad #x5C;mathcalP is in addition equipped with a map from the properad governing Lie bialgebras (or graded versions thereof), then we define a notion of #x5C;mathcalP-graph complex, of stable #x5C;mathcalP-graph complex and a certain operad, that is in good cases an E#x5F;d operad.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A specific type of operad"
      ],
      "id": "en-properad-en-noun-SkDPa2ue",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "operad",
          "operad"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A specific type of operad"
      ],
      "related": [
        {
          "word": "properadic"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "properad"
}

{
  "forms": [
    {
      "form": "properads",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "properad (plural properads)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "properadic"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Sergei Merkulov, Thomas Willwacher, “Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves”, in arXiv",
          "text": "If a properad #x5C;mathcalP is in addition equipped with a map from the properad governing Lie bialgebras (or graded versions thereof), then we define a notion of #x5C;mathcalP-graph complex, of stable #x5C;mathcalP-graph complex and a certain operad, that is in good cases an E#x5F;d operad.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A specific type of operad"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "operad",
          "operad"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A specific type of operad"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "properad"
}