翻訳と辞書
Words near each other
・ Zero's Subs
・ Zero, Mississippi
・ Zero, Montana
・ Zero-Acquaintance Personality Judgments
・ Zero-based budgeting
・ Zero-based numbering
・ Zero-carbon city
・ Zero-configuration networking
・ Zero-copy
・ Zero-coupon bond
・ Zero-Coupon Inflation-Indexed Swap
・ Zero-crossing rate
・ Zero-curtain effect
・ Zero-day (computing)
・ Zero-defects mentality
Zero-dimensional space
・ Zero-dispersion wavelength
・ Zero-drag satellite
・ Zero-emissions vehicle
・ Zero-energy building
・ Zero-energy universe
・ Zero-Force Evolutionary Law
・ Zero-forcing precoding
・ Zero-fuel weight
・ Zero-G (disambiguation)
・ Zero-G Ltd
・ Zero-hour contract
・ Zero-inflated model
・ Zero-intelligence trader
・ Zero-K


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

Zero-dimensional space : ウィキペディア英語版
Zero-dimensional space

In mathematics, a zero-dimensional topological space (or nildimensional) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space.〔(【引用サイトリンク】publisher=planetmath.org )〕 An illustration of a nildimensional space is a point.
==Definition==
Specifically:
* A topological space is zero-dimensional with respect to the Lebesgue covering dimension if every finite open cover of the space has a finite refinement which is a cover of the space by open sets such that any point in the space is contained in exactly one open set of this refinement.
* A topological space is zero-dimensional with respect to the small inductive dimension if it has a base consisting of clopen sets.
The two notions above agree for separable, metrisable spaces.

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「Zero-dimensional 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.