"Listing number" meaning in English

{
  "etymology_text": "These numbers were introduced by the 19th-century mathematician Johann Benedict Listing, and later given this name by Charles Sanders Peirce.",
  "forms": [
    {
      "form": "Listing numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Listing number (plural Listing numbers)",
      "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"
        },
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          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of four topological invariants associated with a topological space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number."
      ],
      "id": "en-Listing_number-en-noun-GHnTEcPQ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological",
          "topological"
        ],
        [
          "invariant",
          "invariant"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "zeroth",
          "zeroth"
        ],
        [
          "Betti number",
          "Betti number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of four topological invariants associated with a topological space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Listing number"
}

{
  "etymology_text": "These numbers were introduced by the 19th-century mathematician Johann Benedict Listing, and later given this name by Charles Sanders Peirce.",
  "forms": [
    {
      "form": "Listing numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Listing number (plural Listing numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "Any of four topological invariants associated with a topological space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological",
          "topological"
        ],
        [
          "invariant",
          "invariant"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "zeroth",
          "zeroth"
        ],
        [
          "Betti number",
          "Betti number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of four topological invariants associated with a topological space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Listing number"
}