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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 wikiPageLength "1515".
- Split_interval wikiPageOutDegree "13".
- Split_interval wikiPageRevisionID "571710020".
- Split_interval wikiPageWikiLink Category:Topological_spaces.
- Split_interval wikiPageWikiLink Closed_interval.
- Split_interval wikiPageWikiLink Compact_Hausdorff_space.
- Split_interval wikiPageWikiLink Compact_space.
- Split_interval wikiPageWikiLink Compactness.
- Split_interval wikiPageWikiLink Hereditarily_Lindelöf_space.
- Split_interval wikiPageWikiLink Hereditarily_separable_space.
- Split_interval wikiPageWikiLink Interior_(topology).
- Split_interval wikiPageWikiLink Interior_point.
- Split_interval wikiPageWikiLink Interval_(mathematics).
- Split_interval wikiPageWikiLink Lexicographical_order.
- Split_interval wikiPageWikiLink Lindelöf_space.
- Split_interval wikiPageWikiLink Metrizable_space.
- Split_interval wikiPageWikiLink Metrization_theorem.
- Split_interval wikiPageWikiLink Order_topology.
- Split_interval wikiPageWikiLink Subspace_topology.
- Split_interval wikiPageWikiLink Topological_space.
- Split_interval wikiPageWikiLink Topology.
- Split_interval wikiPageWikiLinkText "Split interval".
- Split_interval hasPhotoCollection Split_interval.
- Split_interval wikiPageUsesTemplate Template:Citation.
- Split_interval wikiPageUsesTemplate Template:Refbegin.
- Split_interval wikiPageUsesTemplate Template:Refend.
- Split_interval wikiPageUsesTemplate Template:Reflist.
- Split_interval wikiPageUsesTemplate Template:Topology-stub.
- Split_interval subject Category:Topological_spaces.
- Split_interval hypernym Space.
- Split_interval type Space.
- 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 wasDerivedFrom Split_interval?oldid=571710020.
- Split_interval isPrimaryTopicOf Split_interval.