"局所有限" meaning in 日本語

See 局所有限 in All languages combined, or Wiktionary

Noun

Forms: きょくしょゆうげん, 局所有限, だろ [imperfective], だっ [continuative], [continuative], [continuative], [terminal], [attributive], なら [hypothetical], (無し) [imperative], 局所有限だろう, 未然形 + う, 局所有限だった [past, completive], 連用形 + た [past, completive], 局所有限でない [negative], 連用形 + ない [negative], 局所有限になる [intransitive], 連用形 + なる [intransitive], 局所有限だ [definitive], 終止形のみ [definitive], 局所有限なこと [noun-from-verb], 連体形 + こと [noun-from-verb], 局所有限ならば, 仮定形 + ば, 局所有限そうだ, 語幹 + そうだ
  1. 位相空間の被覆が、位相空間の任意の点の近傍を充分に小さく取れば、その近傍が交わる被覆の要素は有限個になること。位相空間 X の被覆 𝒱 について、任意の x ∈ X に対してある近傍 U が存在し、U ∩ V ≠ ∅ であるような V ∈ 𝒱 は高々有限個であるとき、𝒱 は(X において)局所有限であるという。
    Sense id: ja-局所有限-ja-noun-Qy8jRMtv Categories (other): 日本語 位相空間論
The following are not (yet) sense-disambiguated
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 名詞",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 形容動詞",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 形容動詞 ダ活用",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "きょくしょゆうげん"
    },
    {
      "form": "局所有限",
      "raw_tags": [
        "ダ活用",
        "語幹"
      ]
    },
    {
      "form": "だろ",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "imperfective"
      ]
    },
    {
      "form": "だっ",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "continuative"
      ]
    },
    {
      "form": "で",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "continuative"
      ]
    },
    {
      "form": "に",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "continuative"
      ]
    },
    {
      "form": "だ",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "terminal"
      ]
    },
    {
      "form": "な",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "attributive"
      ]
    },
    {
      "form": "なら",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "hypothetical"
      ]
    },
    {
      "form": "(無し)",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "imperative"
      ]
    },
    {
      "form": "局所有限だろう",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形",
        "推量・意志"
      ]
    },
    {
      "form": "未然形 + う",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合",
        "推量・意志"
      ]
    },
    {
      "form": "局所有限だった",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "past",
        "completive"
      ]
    },
    {
      "form": "連用形 + た",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "past",
        "completive"
      ]
    },
    {
      "form": "局所有限でない",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "negative"
      ]
    },
    {
      "form": "連用形 + ない",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "negative"
      ]
    },
    {
      "form": "局所有限になる",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "intransitive"
      ]
    },
    {
      "form": "連用形 + なる",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "intransitive"
      ]
    },
    {
      "form": "局所有限だ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "definitive"
      ]
    },
    {
      "form": "終止形のみ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "definitive"
      ]
    },
    {
      "form": "局所有限なこと",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "noun-from-verb"
      ]
    },
    {
      "form": "連体形 + こと",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "noun-from-verb"
      ]
    },
    {
      "form": "局所有限ならば",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形",
        "仮定条件"
      ]
    },
    {
      "form": "仮定形 + ば",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合",
        "仮定条件"
      ]
    },
    {
      "form": "局所有限そうだ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形",
        "様態"
      ]
    },
    {
      "form": "語幹 + そうだ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合",
        "様態"
      ]
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 位相空間論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "位相空間の被覆が、位相空間の任意の点の近傍を充分に小さく取れば、その近傍が交わる被覆の要素は有限個になること。位相空間 X の被覆 𝒱 について、任意の x ∈ X に対してある近傍 U が存在し、U ∩ V ≠ ∅ であるような V ∈ 𝒱 は高々有限個であるとき、𝒱 は(X において)局所有限であるという。"
      ],
      "id": "ja-局所有限-ja-noun-Qy8jRMtv",
      "raw_tags": [
        "位相空間論"
      ]
    }
  ],
  "word": "局所有限"
}
{
  "categories": [
    "日本語",
    "日本語 名詞",
    "日本語 形容動詞",
    "日本語 形容動詞 ダ活用"
  ],
  "forms": [
    {
      "form": "きょくしょゆうげん"
    },
    {
      "form": "局所有限",
      "raw_tags": [
        "ダ活用",
        "語幹"
      ]
    },
    {
      "form": "だろ",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "imperfective"
      ]
    },
    {
      "form": "だっ",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "continuative"
      ]
    },
    {
      "form": "で",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "continuative"
      ]
    },
    {
      "form": "に",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "continuative"
      ]
    },
    {
      "form": "だ",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "terminal"
      ]
    },
    {
      "form": "な",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "attributive"
      ]
    },
    {
      "form": "なら",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "hypothetical"
      ]
    },
    {
      "form": "(無し)",
      "raw_tags": [
        "ダ活用"
      ],
      "tags": [
        "imperative"
      ]
    },
    {
      "form": "局所有限だろう",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形",
        "推量・意志"
      ]
    },
    {
      "form": "未然形 + う",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合",
        "推量・意志"
      ]
    },
    {
      "form": "局所有限だった",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "past",
        "completive"
      ]
    },
    {
      "form": "連用形 + た",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "past",
        "completive"
      ]
    },
    {
      "form": "局所有限でない",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "negative"
      ]
    },
    {
      "form": "連用形 + ない",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "negative"
      ]
    },
    {
      "form": "局所有限になる",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "intransitive"
      ]
    },
    {
      "form": "連用形 + なる",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "intransitive"
      ]
    },
    {
      "form": "局所有限だ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "definitive"
      ]
    },
    {
      "form": "終止形のみ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "definitive"
      ]
    },
    {
      "form": "局所有限なこと",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形"
      ],
      "tags": [
        "noun-from-verb"
      ]
    },
    {
      "form": "連体形 + こと",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合"
      ],
      "tags": [
        "noun-from-verb"
      ]
    },
    {
      "form": "局所有限ならば",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形",
        "仮定条件"
      ]
    },
    {
      "form": "仮定形 + ば",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合",
        "仮定条件"
      ]
    },
    {
      "form": "局所有限そうだ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "語形",
        "様態"
      ]
    },
    {
      "form": "語幹 + そうだ",
      "raw_tags": [
        "各活用形の基礎的な結合例",
        "結合",
        "様態"
      ]
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "senses": [
    {
      "categories": [
        "日本語 位相空間論"
      ],
      "glosses": [
        "位相空間の被覆が、位相空間の任意の点の近傍を充分に小さく取れば、その近傍が交わる被覆の要素は有限個になること。位相空間 X の被覆 𝒱 について、任意の x ∈ X に対してある近傍 U が存在し、U ∩ V ≠ ∅ であるような V ∈ 𝒱 は高々有限個であるとき、𝒱 は(X において)局所有限であるという。"
      ],
      "raw_tags": [
        "位相空間論"
      ]
    }
  ],
  "word": "局所有限"
}

Download raw JSONL data for 局所有限 meaning in 日本語 (3.2kB)


This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2025-08-04 from the jawiktionary dump dated 2025-08-02 using wiktextract (a681f8a and 3c020d2). 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.