"connecting homomorphism" meaning in English

See connecting homomorphism in All languages combined, or Wiktionary

Noun

Forms: connecting homomorphisms [plural]
Head templates: {{en-noun}} connecting homomorphism (plural connecting homomorphisms)
  1. (homological algebra) The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.
    Sense id: en-connecting_homomorphism-en-noun-nm9uzLKV Categories (other): Pages with 1 entry Disambiguation of Pages with 1 entry: 45 55
  2. (homological algebra) The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.
    (algebraic topology) Such a homomorphism in the context of exact sequences of chain complexes, leading to a long exact sequence of homology groups.
    Categories (topical): Algebraic topology
    Sense id: en-connecting_homomorphism-en-noun-kvEzlj-o Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 39 61 Disambiguation of Pages with 1 entry: 45 55 Disambiguation of Pages with entries: 40 60 Topics: algebraic-topology, mathematics, sciences, topology

Inflected forms

{
  "forms": [
    {
      "form": "connecting homomorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "connecting homomorphism (plural connecting homomorphisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "_dis": "45 55",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels."
      ],
      "id": "en-connecting_homomorphism-en-noun-nm9uzLKV",
      "links": [
        [
          "homological algebra",
          "homological algebra"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "exact sequence",
          "exact sequence"
        ],
        [
          "kernel",
          "kernel"
        ],
        [
          "cokernel",
          "cokernel"
        ]
      ],
      "qualifier": "homological algebra",
      "raw_glosses": [
        "(homological algebra) The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels."
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebraic topology",
          "orig": "en:Algebraic topology",
          "parents": [
            "Algebra",
            "Topology",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "39 61",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "45 55",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "40 60",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.",
        "Such a homomorphism in the context of exact sequences of chain complexes, leading to a long exact sequence of homology groups."
      ],
      "id": "en-connecting_homomorphism-en-noun-kvEzlj-o",
      "links": [
        [
          "homological algebra",
          "homological algebra"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "exact sequence",
          "exact sequence"
        ],
        [
          "kernel",
          "kernel"
        ],
        [
          "cokernel",
          "cokernel"
        ],
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "chain complex",
          "chain complex"
        ],
        [
          "long exact sequence",
          "long exact sequence"
        ],
        [
          "homology group",
          "homology group"
        ]
      ],
      "qualifier": "homological algebra",
      "raw_glosses": [
        "(homological algebra) The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.",
        "(algebraic topology) Such a homomorphism in the context of exact sequences of chain complexes, leading to a long exact sequence of homology groups."
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "connecting homomorphism"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "forms": [
    {
      "form": "connecting homomorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "connecting homomorphism (plural connecting homomorphisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "glosses": [
        "The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels."
      ],
      "links": [
        [
          "homological algebra",
          "homological algebra"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "exact sequence",
          "exact sequence"
        ],
        [
          "kernel",
          "kernel"
        ],
        [
          "cokernel",
          "cokernel"
        ]
      ],
      "qualifier": "homological algebra",
      "raw_glosses": [
        "(homological algebra) The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels."
      ]
    },
    {
      "categories": [
        "en:Algebraic topology"
      ],
      "glosses": [
        "The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.",
        "Such a homomorphism in the context of exact sequences of chain complexes, leading to a long exact sequence of homology groups."
      ],
      "links": [
        [
          "homological algebra",
          "homological algebra"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "exact sequence",
          "exact sequence"
        ],
        [
          "kernel",
          "kernel"
        ],
        [
          "cokernel",
          "cokernel"
        ],
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "chain complex",
          "chain complex"
        ],
        [
          "long exact sequence",
          "long exact sequence"
        ],
        [
          "homology group",
          "homology group"
        ]
      ],
      "qualifier": "homological algebra",
      "raw_glosses": [
        "(homological algebra) The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.",
        "(algebraic topology) Such a homomorphism in the context of exact sequences of chain complexes, leading to a long exact sequence of homology groups."
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "connecting homomorphism"
}

Download raw JSONL data for connecting homomorphism meaning in English (2.0kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.