"弱位相" meaning in 日本語

See 弱位相 in All languages combined, or Wiktionary

Noun

IPA: [d͡ʑa̠kɯ̟ᵝiso̞ː] Forms: じゃくいそう, 强位相
  1. XをK上のノルム空間とし、X^*={α~:~X→K,~αは有界な線型写像}としたとき、X^*に属する関数が全て連続になるXの位相のうち最弱なもの。
    Sense id: ja-弱位相-ja-noun-QrDi5Wbn Categories (other): 日本語 位相空間論
The following are not (yet) sense-disambiguated
{
  "antonyms": [
    {
      "word": "強位相"
    }
  ],
  "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 国際音声記号あり",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "じゃくいそう"
    },
    {
      "form": "强位相",
      "raw_tags": [
        "旧字体"
      ]
    }
  ],
  "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": [
        "XをK上のノルム空間とし、X^*={α~:~X→K,~αは有界な線型写像}としたとき、X^*に属する関数が全て連続になるXの位相のうち最弱なもの。"
      ],
      "id": "ja-弱位相-ja-noun-QrDi5Wbn",
      "raw_tags": [
        "位相空間論"
      ]
    }
  ],
  "sounds": [
    {
      "form": "じゃくいそー",
      "raw_tags": [
        "東京式"
      ],
      "roman": "[jàkúíꜜsòò]",
      "tags": [
        "Nakadaka"
      ]
    },
    {
      "ipa": "[d͡ʑa̠kɯ̟ᵝiso̞ː]"
    }
  ],
  "word": "弱位相"
}
{
  "antonyms": [
    {
      "word": "強位相"
    }
  ],
  "categories": [
    "日本語",
    "日本語 名詞",
    "日本語 国際音声記号あり"
  ],
  "forms": [
    {
      "form": "じゃくいそう"
    },
    {
      "form": "强位相",
      "raw_tags": [
        "旧字体"
      ]
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "senses": [
    {
      "categories": [
        "日本語 位相空間論"
      ],
      "glosses": [
        "XをK上のノルム空間とし、X^*={α~:~X→K,~αは有界な線型写像}としたとき、X^*に属する関数が全て連続になるXの位相のうち最弱なもの。"
      ],
      "raw_tags": [
        "位相空間論"
      ]
    }
  ],
  "sounds": [
    {
      "form": "じゃくいそー",
      "raw_tags": [
        "東京式"
      ],
      "roman": "[jàkúíꜜsòò]",
      "tags": [
        "Nakadaka"
      ]
    },
    {
      "ipa": "[d͡ʑa̠kɯ̟ᵝiso̞ː]"
    }
  ],
  "word": "弱位相"
}

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This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2025-07-19 from the jawiktionary dump dated 2025-07-02 using wiktextract (45c4a21 and f1c2b61). 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.