See 局所有限 on Wiktionary
{ "categories": [ { "kind": "other", "name": "日本語", "parents": [], "source": "w" }, { "kind": "other", "name": "日本語 名詞", "parents": [], "source": "w" } ], "forms": [ { "form": "きょくしょゆうげん" } ], "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" ], "forms": [ { "form": "きょくしょゆうげん" } ], "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" }
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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 2025-02-22 from the jawiktionary dump dated 2025-02-21 using wiktextract (9e2b7d3 and f2e72e5). 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.