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About: Split interval     Goto   Sponge   NotDistinct   Permalink

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

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

In topology, the split interval, or double arrow space, is a topological space that results from splitting each point in a closed interval into two adjacent points and giving the resulting ordered set the order topology. It satisfies various interesting properties and serves as a useful counterexample in general topology.