翻訳と辞書 Words near each other ・ Quotidiano di Sicilia ・ Quotidiano.net ・ Quotient ・ Quotient (disambiguation) ・ Quotient algebra ・ Quotient by an equivalence relation ・ Quotient category ・ Quotient filter ・ Quotient graph ・ Quotient group ・ Quotient module ・ Quotient of subspace theorem ・ Quotient ring ・ Quotient rule ・ Quotient space (linear algebra) ・ Quotient space (topology) ・ Quotient stack ・ Quotient type ・ Quotientable automorphism ・ Quotients (EP) ・ Quotition and partition ・ Quotron ・ Quottoon Inlet ・ QuoVadis ・ Quow ・ Quoya ・ Quoya indica ・ Quoyness chambered cairn ・ Quoyula ・ Qupa 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 Quotient space (topology) ： ウィキペディア英語版 Quotient space (topology) In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space. The points to be identified are specified by an equivalence relation. This is commonly done in order to construct new spaces from given ones. The quotient topology consists of all sets with an open preimage under the canonical projection map that maps each element to its equivalence class. == Definition == Let be a topological space, and let be an equivalence relation on . The quotient space, is defined to be the set of equivalence classes of elements of : :$Y\; =\; \backslash \; =\; \backslash ,$ equipped with the topology where the open sets are defined to be those sets of equivalence classes whose unions are open sets in ''X'': :$\backslash tau\_Y\; =\; \backslash Bigl\backslash \backslash Bigr\backslash \}.$ Equivalently, we can define them to be those sets with an open preimage under the surjective map , which sends a point in to the equivalence class containing it: :$\backslash tau\_Y=\backslash left\backslash .$ The quotient topology is the final topology on the quotient space with respect to the map . 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「Quotient space (topology)」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.