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About: Cosmic space     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Space100028651, within Data Space : dbpedia.org associated with source document(s)

Type: workyago:WikicatTopologicalSpacesyago:Abstraction100002137yago:Attribute100024264yago:MathematicalSpace108001685yago:Set107999699yago:Space100028651 New Facet based on Instances of this Class

In mathematics, particularly topology, a cosmic space is any topological space that is a continuous image of some separable metric space. Equivalently (for regular T1 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.