"chain complex" meaning in English

{
  "forms": [
    {
      "form": "chain complexes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "chain complex (plural chain complexes)",
      "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"
        }
      ],
      "glosses": [
        "A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next."
      ],
      "hyponyms": [
        {
          "word": "exact sequence"
        }
      ],
      "id": "en-chain_complex-en-noun-98UHl-6k",
      "links": [
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "Abelian group",
          "Abelian group"
        ],
        [
          "module",
          "module"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "boundary homomorphism",
          "boundary homomorphism"
        ],
        [
          "image",
          "image"
        ],
        [
          "kernel",
          "kernel"
        ]
      ],
      "meronyms": [
        {
          "word": "boundary homomorphism"
        },
        {
          "word": "chain group"
        }
      ],
      "raw_glosses": [
        "(algebraic topology) A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next."
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "sequence of Abelian groups...",
          "tags": [
            "masculine"
          ],
          "word": "complejo de cadenas"
        }
      ],
      "wikipedia": [
        "chain complex"
      ]
    }
  ],
  "word": "chain complex"
}

{
  "forms": [
    {
      "form": "chain complexes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "chain complex (plural chain complexes)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "exact sequence"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "meronyms": [
    {
      "word": "boundary homomorphism"
    },
    {
      "word": "chain group"
    }
  ],
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Algebraic topology"
      ],
      "glosses": [
        "A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next."
      ],
      "links": [
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "Abelian group",
          "Abelian group"
        ],
        [
          "module",
          "module"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "boundary homomorphism",
          "boundary homomorphism"
        ],
        [
          "image",
          "image"
        ],
        [
          "kernel",
          "kernel"
        ]
      ],
      "raw_glosses": [
        "(algebraic topology) A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next."
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "chain complex"
      ]
    }
  ],
  "translations": [
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "sequence of Abelian groups...",
      "tags": [
        "masculine"
      ],
      "word": "complejo de cadenas"
    }
  ],
  "word": "chain complex"
}