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・ Cosmo Campoli
・ Cosmo Clock 21
・ Cosmo Cosmolino
・ Cosmo Crawley
・ Cosmo D'Angeli
・ Cosmic Research
・ Cosmic Review
・ Cosmic Rift
・ Cosmic Rough Riders
・ Cosmic Sex
・ Cosmic Slop
・ Cosmic Slop Shop
・ Cosmic Smash
・ COSMIC software sizing
・ Cosmic Soldier (video game)
Cosmic space
・ Cosmic Stories and Stirring Science Stories
・ Cosmic storm
・ Cosmic string
・ Cosmic Suite
・ Cosmic Thing
・ Cosmic time
・ Cosmic Tones for Mental Therapy
・ Cosmic Tradition
・ Cosmic treadmill
・ Cosmic Universal Fashion
・ Cosmic Variance
・ Cosmic variance
・ Cosmic Variance (blog)
・ Cosmic View


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Cosmic space : ウィキペディア英語版
Cosmic space

In mathematics, particularly topology, a cosmic space is any topological space that is a continuous image of some separable metric space. Equivalently (for regular ''T''1 spaces but not in general), a space is cosmic if and only if it has a countable network; namely a countable collection of subsets of the space such that any open set is the union of a subcollection of these sets.
Cosmic spaces have several interesting properties. There are a number of unsolved problems about them.
==Examples and properties==

* Any open subset of a cosmic space is cosmic since open subsets of separable spaces are separable.
* Separable metric spaces are trivially cosmic.

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「Cosmic space」の詳細全文を読む



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