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- Lower_limit_topology abstract "In mathematics, the lower limit topology or right half-open interval topology is a topology defined on the set R of real numbers; it is different from the standard topology on R (generated by the open intervals) and has a number of interesting properties. It is the topology generated by the basis of all half-open intervals [a,b), where a and b are real numbers.The resulting topological space, sometimes written Rl and called the Sorgenfrey line after Robert Sorgenfrey, often serves as a useful counterexample in general topology, like the Cantor set and the long line. The product of Rl with itself is also a useful counterexample, known as the Sorgenfrey plane.In complete analogy, one can also define the upper limit topology, or left half-open interval topology.".
- Lower_limit_topology wikiPageExternalLink bbqa?forum=homework_help_2003&task=show_msg&msg=0878.0001.0001.
- Lower_limit_topology wikiPageID "310517".
- Lower_limit_topology wikiPageLength "4823".
- Lower_limit_topology wikiPageOutDegree "37".
- Lower_limit_topology wikiPageRevisionID "626965941".
- Lower_limit_topology wikiPageWikiLink Axiom_of_countability.
- Lower_limit_topology wikiPageWikiLink Baire_space.
- Lower_limit_topology wikiPageWikiLink Base_(topology).
- Lower_limit_topology wikiPageWikiLink Basis_(topology).
- Lower_limit_topology wikiPageWikiLink Cantor_set.
- Lower_limit_topology wikiPageWikiLink Category:Topological_spaces.
- Lower_limit_topology wikiPageWikiLink Compact_space.
- Lower_limit_topology wikiPageWikiLink Comparison_of_topologies.
- Lower_limit_topology wikiPageWikiLink Countable_set.
- Lower_limit_topology wikiPageWikiLink Counterexamples_in_Topology.
- Lower_limit_topology wikiPageWikiLink Dover_Publications.
- Lower_limit_topology wikiPageWikiLink Finer_topology.
- Lower_limit_topology wikiPageWikiLink First-countable_space.
- Lower_limit_topology wikiPageWikiLink Function_(mathematics).
- Lower_limit_topology wikiPageWikiLink General_topology.
- Lower_limit_topology wikiPageWikiLink Half-open_interval.
- Lower_limit_topology wikiPageWikiLink If_and_only_if.
- Lower_limit_topology wikiPageWikiLink Iff.
- Lower_limit_topology wikiPageWikiLink Interval_(mathematics).
- Lower_limit_topology wikiPageWikiLink Lindelöf_space.
- Lower_limit_topology wikiPageWikiLink Locally_compact.
- Lower_limit_topology wikiPageWikiLink Locally_compact_space.
- Lower_limit_topology wikiPageWikiLink Long_line_(topology).
- Lower_limit_topology wikiPageWikiLink Mathematics.
- Lower_limit_topology wikiPageWikiLink Metric_(mathematics).
- Lower_limit_topology wikiPageWikiLink Metrizable.
- Lower_limit_topology wikiPageWikiLink Metrization_theorem.
- Lower_limit_topology wikiPageWikiLink Net_(mathematics).
- Lower_limit_topology wikiPageWikiLink Net_(topology).
- Lower_limit_topology wikiPageWikiLink Normal_space.
- Lower_limit_topology wikiPageWikiLink One-sided_limit.
- Lower_limit_topology wikiPageWikiLink Open_interval.
- Lower_limit_topology wikiPageWikiLink Paracompact.
- Lower_limit_topology wikiPageWikiLink Paracompact_space.
- Lower_limit_topology wikiPageWikiLink Perfectly_normal_Hausdorff_space.
- Lower_limit_topology wikiPageWikiLink Premetric.
- Lower_limit_topology wikiPageWikiLink Product_space.
- Lower_limit_topology wikiPageWikiLink Product_topology.
- Lower_limit_topology wikiPageWikiLink Real_number.
- Lower_limit_topology wikiPageWikiLink Real_numbers.
- Lower_limit_topology wikiPageWikiLink Right-sided_limit.
- Lower_limit_topology wikiPageWikiLink Robert_Sorgenfrey.
- Lower_limit_topology wikiPageWikiLink Second-countable_space.
- Lower_limit_topology wikiPageWikiLink Separable_space.
- Lower_limit_topology wikiPageWikiLink Separation_axiom.
- Lower_limit_topology wikiPageWikiLink Separation_axioms.
- Lower_limit_topology wikiPageWikiLink Sorgenfrey_plane.
- Lower_limit_topology wikiPageWikiLink Springer-Verlag.
- Lower_limit_topology wikiPageWikiLink Springer_Science+Business_Media.
- Lower_limit_topology wikiPageWikiLink Topological_space.
- Lower_limit_topology wikiPageWikiLink Σ-compact_space.
- Lower_limit_topology wikiPageWikiLinkText "Lower limit topology".
- Lower_limit_topology wikiPageWikiLinkText "Right half-open interval topology".
- Lower_limit_topology wikiPageWikiLinkText "Sorgenfrey line".
- Lower_limit_topology wikiPageWikiLinkText "lower limit topology".
- Lower_limit_topology hasPhotoCollection Lower_limit_topology.
- Lower_limit_topology wikiPageUsesTemplate Template:Citation.
- Lower_limit_topology subject Category:Topological_spaces.
- Lower_limit_topology hypernym Topology.
- Lower_limit_topology type Space.
- Lower_limit_topology comment "In mathematics, the lower limit topology or right half-open interval topology is a topology defined on the set R of real numbers; it is different from the standard topology on R (generated by the open intervals) and has a number of interesting properties.".
- Lower_limit_topology label "Lower limit topology".
- Lower_limit_topology sameAs Sorgenfrey-Gerade.
- Lower_limit_topology sameAs Topología_del_límite_inferior.
- Lower_limit_topology sameAs Droite_de_Sorgenfrey.
- Lower_limit_topology sameAs הישר_של_סורגנפריי.
- Lower_limit_topology sameAs Topologia_del_limite_inferiore.
- Lower_limit_topology sameAs Prosta_Sorgenfreya.
- Lower_limit_topology sameAs Reta_de_Sorgenfrey.
- Lower_limit_topology sameAs m.01t3nh.
- Lower_limit_topology sameAs Прямая_Зоргенфрея.
- Lower_limit_topology sameAs Q1543600.
- Lower_limit_topology sameAs Q1543600.
- Lower_limit_topology wasDerivedFrom Lower_limit_topology?oldid=626965941.
- Lower_limit_topology isPrimaryTopicOf Lower_limit_topology.