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- Long_line_(topology) abstract "In topology, the long line (or Alexandroff line) is a topological space somewhat similar to the real line, but in a certain way "longer". It behaves locally just like the real line, but has different large-scale properties (e.g., it is neither Lindelöf nor separable). Therefore it serves as one of the basic counterexamples of topology. Intuitively, the usual real-number line consists of a countable number of line segments [0, 1) laid end-to-end, whereas the long line is constructed from an uncountable number of such segments.".
- Long_line_(topology) wikiPageID "338403".
- Long_line_(topology) wikiPageLength "12127".
- Long_line_(topology) wikiPageOutDegree "43".
- Long_line_(topology) wikiPageRevisionID "678909395".
- Long_line_(topology) wikiPageWikiLink Alexandroff_extension.
- Long_line_(topology) wikiPageWikiLink Analytic_manifold.
- Long_line_(topology) wikiPageWikiLink Bagpipe_theorem.
- Long_line_(topology) wikiPageWikiLink Cardinality.
- Long_line_(topology) wikiPageWikiLink Cartesian_product.
- Long_line_(topology) wikiPageWikiLink Category:Topological_spaces.
- Long_line_(topology) wikiPageWikiLink Compact_space.
- Long_line_(topology) wikiPageWikiLink Connected_space.
- Long_line_(topology) wikiPageWikiLink Continuous_function.
- Long_line_(topology) wikiPageWikiLink Contractible.
- Long_line_(topology) wikiPageWikiLink Contractible_space.
- Long_line_(topology) wikiPageWikiLink Differentiable_manifold.
- Long_line_(topology) wikiPageWikiLink First-countable_space.
- Long_line_(topology) wikiPageWikiLink First_uncountable_ordinal.
- Long_line_(topology) wikiPageWikiLink George_Bergman.
- Long_line_(topology) wikiPageWikiLink Hausdorff_space.
- Long_line_(topology) wikiPageWikiLink Homeomorphic.
- Long_line_(topology) wikiPageWikiLink Homeomorphism.
- Long_line_(topology) wikiPageWikiLink Interval_(mathematics).
- Long_line_(topology) wikiPageWikiLink Lexicographic_order_topology_on_the_unit_square.
- Long_line_(topology) wikiPageWikiLink Lindelöf_space.
- Long_line_(topology) wikiPageWikiLink Locally_compact.
- Long_line_(topology) wikiPageWikiLink Locally_compact_space.
- Long_line_(topology) wikiPageWikiLink Locally_connected_space.
- Long_line_(topology) wikiPageWikiLink Locally_path-connected.
- Long_line_(topology) wikiPageWikiLink Manifold.
- Long_line_(topology) wikiPageWikiLink Metrization_theorem.
- Long_line_(topology) wikiPageWikiLink Normal_space.
- Long_line_(topology) wikiPageWikiLink One-point_compactification.
- Long_line_(topology) wikiPageWikiLink P-adic.
- Long_line_(topology) wikiPageWikiLink P-adic_number.
- Long_line_(topology) wikiPageWikiLink Paracompact.
- Long_line_(topology) wikiPageWikiLink Paracompact_space.
- Long_line_(topology) wikiPageWikiLink Path-connected.
- Long_line_(topology) wikiPageWikiLink Prüfer_manifold.
- Long_line_(topology) wikiPageWikiLink Real_line.
- Long_line_(topology) wikiPageWikiLink Riemannian_manifold.
- Long_line_(topology) wikiPageWikiLink Riemannian_metric.
- Long_line_(topology) wikiPageWikiLink Second-countable_space.
- Long_line_(topology) wikiPageWikiLink Separable_space.
- Long_line_(topology) wikiPageWikiLink Simply_connected.
- Long_line_(topology) wikiPageWikiLink Simply_connected_space.
- Long_line_(topology) wikiPageWikiLink Stone–Čech_compactification.
- Long_line_(topology) wikiPageWikiLink Topological_manifold.
- Long_line_(topology) wikiPageWikiLink Topological_space.
- Long_line_(topology) wikiPageWikiLink Topology.
- Long_line_(topology) wikiPageWikiLinkText "Extended long line".
- Long_line_(topology) wikiPageWikiLinkText "Long line (topology)".
- Long_line_(topology) wikiPageWikiLinkText "Long line".
- Long_line_(topology) wikiPageWikiLinkText "long line".
- Long_line_(topology) wikiPageWikiLinkText "long real line".
- Long_line_(topology) hasPhotoCollection Long_line_(topology).
- Long_line_(topology) wikiPageUsesTemplate Template:Citation.
- Long_line_(topology) wikiPageUsesTemplate Template:Harvtxt.
- Long_line_(topology) wikiPageUsesTemplate Template:Reflist.
- Long_line_(topology) subject Category:Topological_spaces.
- Long_line_(topology) hypernym Space.
- Long_line_(topology) comment "In topology, the long line (or Alexandroff line) is a topological space somewhat similar to the real line, but in a certain way "longer". It behaves locally just like the real line, but has different large-scale properties (e.g., it is neither Lindelöf nor separable). Therefore it serves as one of the basic counterexamples of topology.".
- Long_line_(topology) label "Long line (topology)".
- Long_line_(topology) sameAs Lange_Gerade.
- Long_line_(topology) sameAs Recta_larga_(topología).
- Long_line_(topology) sameAs Longue_droite.
- Long_line_(topology) sameAs 長い直線.
- Long_line_(topology) sameAs 긴_직선.
- Long_line_(topology) sameAs Prosta_Aleksandrowa.
- Long_line_(topology) sameAs m.01xsfy.
- Long_line_(topology) sameAs Q1804923.
- Long_line_(topology) sameAs Q1804923.
- Long_line_(topology) sameAs 長直線.
- Long_line_(topology) wasDerivedFrom Long_line_(topology)?oldid=678909395.
- Long_line_(topology) isPrimaryTopicOf Long_line_(topology).