"fibration" meaning in English

See fibration in All languages combined, or Wiktionary

Noun

Forms: fibrations [plural]
Head templates: {{en-noun}} fibration (plural fibrations)
  1. (algebraic topology) A continuous mapping satisfying the homotopy lifting property with respect to any space. Wikipedia link: fibration Categories (topical): Algebraic topology Derived forms: cofibration, fibrational Related terms: fibrant
    Sense id: en-fibration-en-noun-~cfmLYYd Categories (other): English entries with incorrect language header Topics: algebraic-topology, mathematics, sciences, topology

Inflected forms

Download JSON data for fibration meaning in English (1.3kB)

{
  "forms": [
    {
      "form": "fibrations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "fibration (plural fibrations)",
      "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": "Algebraic topology",
          "orig": "en:Algebraic topology",
          "parents": [
            "Algebra",
            "Topology",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "cofibration"
        },
        {
          "word": "fibrational"
        }
      ],
      "glosses": [
        "A continuous mapping satisfying the homotopy lifting property with respect to any space."
      ],
      "id": "en-fibration-en-noun-~cfmLYYd",
      "links": [
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "mapping",
          "mapping"
        ],
        [
          "homotopy",
          "homotopy"
        ],
        [
          "space",
          "space"
        ]
      ],
      "raw_glosses": [
        "(algebraic topology) A continuous mapping satisfying the homotopy lifting property with respect to any space."
      ],
      "related": [
        {
          "word": "fibrant"
        }
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "fibration"
      ]
    }
  ],
  "word": "fibration"
}
{
  "derived": [
    {
      "word": "cofibration"
    },
    {
      "word": "fibrational"
    }
  ],
  "forms": [
    {
      "form": "fibrations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "fibration (plural fibrations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "fibrant"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "en:Algebraic topology"
      ],
      "glosses": [
        "A continuous mapping satisfying the homotopy lifting property with respect to any space."
      ],
      "links": [
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "mapping",
          "mapping"
        ],
        [
          "homotopy",
          "homotopy"
        ],
        [
          "space",
          "space"
        ]
      ],
      "raw_glosses": [
        "(algebraic topology) A continuous mapping satisfying the homotopy lifting property with respect to any space."
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "fibration"
      ]
    }
  ],
  "word": "fibration"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.