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- Split_interval abstract "In topology, the split interval is a space that results from splitting each interior point in a closed interval into two adjacent points. It may be defined as the lexicographic product [0, 1] × {0, 1} without the points the isolated edge points, (0,1) and (1,0), equipped with the order topology. It is also known as the Alexandrov double arrow space or two arrows space.The split interval is compact Hausdorff, and it is hereditarily Lindelöf and hereditarily separable, but it is not metrizable; its metrizable subspaces are all countable.All compact, separable ordered spaces are order-isomorphic to a subset of the split interval.".
- Split_interval wikiPageID "31643910".
- Split_interval wikiPageRevisionID "571710020".
- Split_interval hasPhotoCollection Split_interval.
- Split_interval subject Category:Topological_spaces.
- Split_interval type Abstraction100002137.
- Split_interval type Attribute100024264.
- Split_interval type MathematicalSpace108001685.
- Split_interval type Set107999699.
- Split_interval type Space100028651.
- Split_interval type TopologicalSpaces.
- Split_interval comment "In topology, the split interval is a space that results from splitting each interior point in a closed interval into two adjacent points. It may be defined as the lexicographic product [0, 1] × {0, 1} without the points the isolated edge points, (0,1) and (1,0), equipped with the order topology.".
- Split_interval label "Split interval".
- Split_interval sameAs m.0gmg6p1.
- Split_interval sameAs Q7578693.
- Split_interval sameAs Q7578693.
- Split_interval sameAs Split_interval.
- Split_interval wasDerivedFrom Split_interval?oldid=571710020.
- Split_interval isPrimaryTopicOf Split_interval.