翻訳と辞書
Words near each other
・ Homeopathy Plus!
・ Homeoptoton
・ Homeorhesis
・ HomeOS
・ Homeosis
・ Homeostasis
・ Homeostat
・ Homeostatic capacity
・ Homeostatic emotion
・ Homeostatic model assessment
・ Homeostatic plasticity
・ Homeoteleuton
・ Homeothermy
・ Homeotic gene
・ Homeotic selector gene
Homeotopy
・ Homeotropic alignment
・ Homeovestism
・ Homeoviscous adaptation
・ Homeowner association
・ Homeowner Flood Insurance Affordability Act of 2013
・ Homeowner Flood Insurance Affordability Act of 2014
・ Homeowner Protection Office
・ Homeowner's Defense Act
・ Homeowners Affordability and Stability Plan
・ Homeowners Refinancing Act
・ Homepak
・ Homeplace (Frankford, West Virginia)
・ Homeplace Plantation House
・ HomePlug


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Homeotopy : ウィキペディア英語版
Homeotopy

In algebraic topology, an area of mathematics, a homeotopy group of a topological space is a homotopy group of the group of self-homeomorphisms of that space.
==Definition==
The homotopy group functors \pi_k assign to each path-connected topological space X the group \pi_k(X) of homotopy classes of continuous maps S^k\to X.
Another construction on a space X is the group of all self-homeomorphisms X \to X, denoted (X). If ''X'' is a locally compact, locally connected Hausdorff space then a fundamental result of R. Arens says that (X) will in fact be a topological group under the compact-open topology.
Under the above assumptions, the homeotopy groups for X are defined to be:
:HME_k(X)=\pi_k((X)).
Thus HME_0(X)=\pi_0((X))=MCG^
*(X) is the extended mapping class group for X. In other words, the extended mapping class group is the set of connected components of (X) as specified by the functor \pi_0.

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「Homeotopy」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.