翻訳と辞書 Words near each other ・ Isopodichnus ・ Isopogon ・ Isopogon adenanthoides ・ Isopogon alcicornis ・ Isopogon anemonifolius ・ Isopogon anethifolius ・ Isopogon asper ・ Isopogon attenuatus ・ Isopogon axillaris ・ Isomorphism (sociology) ・ Isomorphism class ・ Isomorphism extension theorem ・ Isomorphism of categories ・ Isomorphism problem ・ Isomorphism theorem ・ Isomorphism-closed subcategory ・ Isomultiflorenol synthase ・ Isomäki ・ Ison ・ Ison (music) ・ ISON Airbike ・ Ison and Fille ・ Isona i Conca Dellà ・ Isona Passola ・ Isonade ・ Isonandra ・ Isonandra borneensis ・ Isonandra lanceolata ・ Isonandra montana ・ Isonandra stocksii Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Isomorphism-closed subcategory ： ウィキペディア英語版 Isomorphism-closed subcategory In category theory, a branch of mathematics, a subcategory $\backslash mathcal$ of a category $\backslash mathcal$ is said to be isomorphism-closed or replete if every $\backslash mathcal$-isomorphism $h:A\backslash to\; B$ with $A\backslash in\backslash mathcal$ belongs to $\backslash mathcal.$ This implies that both $B$ and $h^:B\backslash to\; A$ belong to $\backslash mathcal$ as well. A subcategory which is isomorphism-closed and full is called strictly full. In the case of full subcategories it is sufficient to check that every $\backslash mathcal$-object which is isomorphic to an $\backslash mathcal$-object is also an $\backslash mathcal$-object. This condition is very natural. E.g. in the category of topological spaces one usually studies properties which are invariant under homeomorphisms – so called topological properties. Every topological property corresponds to a strictly full subcategory of $\backslash mathbf.$ ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Isomorphism-closed subcategory」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.