"merotopy" meaning in All languages combined

See merotopy on Wiktionary

Noun [English]

Forms: merotopies [plural]
Head templates: {{en-noun}} merotopy (plural merotopies)
  1. (topology) The set of all subsets of a topological space such that, for some element in that space every neighbourhood of that element contains a member of the subset. Categories (topical): Topology Related terms: merotopic
    Sense id: en-merotopy-en-noun-vFSshDkx Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences, topology

Inflected forms

{
  "forms": [
    {
      "form": "merotopies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "merotopy (plural merotopies)",
      "name": "en-noun"
    }
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  "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1980, Topology (issue 23, part 1, page 608)",
          "text": "An affirmative answer was given by Simon in a recent paper on natural merotopies."
        },
        {
          "ref": "2004, Categorical Structures and Their Applications: Proceedings of the North-West European Category Seminar, Berlin, Germany, 28-29 March 2003, page 63:",
          "text": "That μ_A satisfies the axioms of a merotopy is easily seen.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The set of all subsets of a topological space such that, for some element in that space every neighbourhood of that element contains a member of the subset."
      ],
      "id": "en-merotopy-en-noun-vFSshDkx",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "element",
          "element"
        ],
        [
          "neighbourhood",
          "neighbourhood"
        ]
      ],
      "raw_glosses": [
        "(topology) The set of all subsets of a topological space such that, for some element in that space every neighbourhood of that element contains a member of the subset."
      ],
      "related": [
        {
          "word": "merotopic"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "merotopy"
}
{
  "forms": [
    {
      "form": "merotopies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "merotopy (plural merotopies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "merotopic"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "Quotation templates to be cleaned",
        "en:Topology"
      ],
      "examples": [
        {
          "ref": "1980, Topology (issue 23, part 1, page 608)",
          "text": "An affirmative answer was given by Simon in a recent paper on natural merotopies."
        },
        {
          "ref": "2004, Categorical Structures and Their Applications: Proceedings of the North-West European Category Seminar, Berlin, Germany, 28-29 March 2003, page 63:",
          "text": "That μ_A satisfies the axioms of a merotopy is easily seen.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The set of all subsets of a topological space such that, for some element in that space every neighbourhood of that element contains a member of the subset."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "subset",
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        ],
        [
          "topological space",
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        ],
        [
          "element",
          "element"
        ],
        [
          "neighbourhood",
          "neighbourhood"
        ]
      ],
      "raw_glosses": [
        "(topology) The set of all subsets of a topological space such that, for some element in that space every neighbourhood of that element contains a member of the subset."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "word": "merotopy"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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.