| 翻訳と辞書 |
| Rose (topology) ： ウィキペディア英語版 |
Rose (topology)
In mathematics, a rose (also known as a bouquet of ''n'' circles) is a topological space obtained by gluing together a collection of circles along a single point. The circles of the rose are called petals. Roses are important in algebraic topology, where they are closely related to free groups.
== Definition ==
A rose is a wedge sum of circles. That is, the rose is the quotient space ''C''/''S'', where ''C'' is a disjoint union of circles and ''S'' a set consisting of one point from each circle. As a cell complex, a rose has a single vertex, and one edge for each circle. This makes it a simple example of a topological graph.
A rose with ''n'' petals can also be obtained by identifying ''n'' points on a single circle. The rose with two petals is known as the figure eight.
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「Rose (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.
|
|