"prodiscrete" meaning in All languages combined

See prodiscrete on Wiktionary

Adjective [English]

Etymology: pro- + discrete Etymology templates: {{prefix|en|pro|discrete}} pro- + discrete Head templates: {{en-adj|-}} prodiscrete (not comparable)
  1. (mathematics) Isomorphic to the limit of a filtered projective system of discrete groups. Tags: not-comparable Categories (topical): Mathematics Synonyms: pro-discrete
    Sense id: en-prodiscrete-en-adj-YybSbLDe Categories (other): English entries with incorrect language header, English terms prefixed with pro- Topics: mathematics, sciences

Download JSON data for prodiscrete meaning in All languages combined (1.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pro",
        "3": "discrete"
      },
      "expansion": "pro- + discrete",
      "name": "prefix"
    }
  ],
  "etymology_text": "pro- + discrete",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "prodiscrete (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with pro-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Maria Vincenta Ferrer, Salvador Hernández, Dmitri Shakhmatov, “A countable free closed non-reflexive subgroup of Z^c”, in arXiv",
          "text": "Since G can be viewed as a closed subgroup of the Tychonoff product of continuum many copies of the integers Z, this provides an example of a group described in the title, thereby answering Problem 11 from J.Galindo, L.Recorder-N\\'{u}\\~{n}ez, M.Tkachenko, Reflexivity of prodiscrete topological groups, J.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Isomorphic to the limit of a filtered projective system of discrete groups."
      ],
      "id": "en-prodiscrete-en-adj-YybSbLDe",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Isomorphic",
          "isomorphic"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "filtered",
          "filtered"
        ],
        [
          "projective",
          "projective"
        ],
        [
          "discrete",
          "discrete"
        ],
        [
          "group",
          "group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Isomorphic to the limit of a filtered projective system of discrete groups."
      ],
      "synonyms": [
        {
          "word": "pro-discrete"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "prodiscrete"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pro",
        "3": "discrete"
      },
      "expansion": "pro- + discrete",
      "name": "prefix"
    }
  ],
  "etymology_text": "pro- + discrete",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "prodiscrete (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
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      "categories": [
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        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Maria Vincenta Ferrer, Salvador Hernández, Dmitri Shakhmatov, “A countable free closed non-reflexive subgroup of Z^c”, in arXiv",
          "text": "Since G can be viewed as a closed subgroup of the Tychonoff product of continuum many copies of the integers Z, this provides an example of a group described in the title, thereby answering Problem 11 from J.Galindo, L.Recorder-N\\'{u}\\~{n}ez, M.Tkachenko, Reflexivity of prodiscrete topological groups, J.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Isomorphic to the limit of a filtered projective system of discrete groups."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Isomorphic",
          "isomorphic"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "filtered",
          "filtered"
        ],
        [
          "projective",
          "projective"
        ],
        [
          "discrete",
          "discrete"
        ],
        [
          "group",
          "group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Isomorphic to the limit of a filtered projective system of discrete groups."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "pro-discrete"
    }
  ],
  "word": "prodiscrete"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.