| 翻訳と辞書 |
| ring spectrum ： ウィキペディア英語版 |
ring spectrum
In stable homotopy theory, a ring spectrum is a spectrum ''E'' together with a multiplication map
:''μ'':''E'' ∧ ''E'' → ''E''
and a unit map
: ''η'':''S'' → ''E'',
where ''S'' is the sphere spectrum. These maps have to satisfy associativity and unitality conditions up to homotopy much in the same way as the multiplication of a ring is associative and unital. That is,
: ''μ'' (id ∧ ''μ'') ∼ ''μ'' (''μ'' ∧ id)
and
: ''μ'' (id ∧ ''η'') ∼ id ∼ ''μ''(''η'' ∧ id).
Examples of ring spectra include singular homology with coefficients in a ring, complex cobordism, K-theory, and Morava K-theory.
== See also ==
*Highly structured ring spectrum
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「ring spectrum」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.
|
|