翻訳と辞書
Words near each other
・ Spectral pygmy chameleon
・ Spectral radius
・ Spectral regrowth
・ Spectral rendering
・ Spectral resolution
・ Spectral risk measure
・ Spectral Sciences Incorporated
・ Spectral sensitivity
・ Spectral sequence
・ Spectral set
・ Spectral shape analysis
・ Spectral signal-to-noise ratio
・ Spectral signature
・ Spectral slope
・ Spectral Sound
Spectral space
・ Spectral splatter
・ Spectral tarsier
・ Spectral test
・ Spectral theorem
・ Spectral theory
・ Spectral theory of compact operators
・ Spectral theory of ordinary differential equations
・ Spectral triple
・ Spectral Visions of Mental Warfare
・ Spectral width
・ Spectral Worship
・ SpectraLayers
・ Spectralia
・ Spectralon


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

Spectral space : ウィキペディア英語版
Spectral space
In mathematics, a spectral space is a topological space that is homeomorphic to the spectrum of a commutative ring.
==Definition==

Let ''X'' be a topological space and let ''K\circ(X)'' be the set of all
quasi-compact open subsets of ''X''. Then ''X'' is said to be ''spectral'' if it satisfies all of the following conditions:
*''X'' is quasi-compact and ''T0''.
* ''K\circ(X)'' is a basis of open subsets of ''X''.
* ''K\circ(X)'' is closed under finite intersections.
* ''X'' is sober, i.e. every nonempty irreducible closed subset of ''X'' has a (necessarily unique) generic point.

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「Spectral space」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.