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- Appert_topology abstract "In general topology, a branch of mathematics, the Appert topology, named for Appert (1934), is an example of a topology on the set Z+ = {1, 2, 3, …} of positive integers. To give Z+ a topology means to say which subsets of Z+ are open in a manner that satisfies certain axioms: The union of open sets is an open set. The finite intersection of open sets is an open set. Z+ and the empty set ∅ are open sets.In the Appert topology, the open sets are those that do not contain 1, and those that asymptotically contain almost every positive integer.".
- Appert_topology wikiPageID "29057063".
- Appert_topology wikiPageLength "3552".
- Appert_topology wikiPageOutDegree "20".
- Appert_topology wikiPageRevisionID "650693371".
- Appert_topology wikiPageWikiLink Alexandroff_extension.
- Appert_topology wikiPageWikiLink Category:General_topology.
- Appert_topology wikiPageWikiLink Category:Topological_spaces.
- Appert_topology wikiPageWikiLink Category:Topologies_on_the_set_of_positive_integers.
- Appert_topology wikiPageWikiLink Compact_space.
- Appert_topology wikiPageWikiLink Countably_compact_space.
- Appert_topology wikiPageWikiLink Counterexamples_in_Topology.
- Appert_topology wikiPageWikiLink Discrete_space.
- Appert_topology wikiPageWikiLink Empty_set.
- Appert_topology wikiPageWikiLink Fort_space.
- Appert_topology wikiPageWikiLink General_topology.
- Appert_topology wikiPageWikiLink Hausdorff_space.
- Appert_topology wikiPageWikiLink Intersection.
- Appert_topology wikiPageWikiLink Locally_compact_space.
- Appert_topology wikiPageWikiLink Natural_number.
- Appert_topology wikiPageWikiLink Normal_space.
- Appert_topology wikiPageWikiLink Open_set.
- Appert_topology wikiPageWikiLink Subset.
- Appert_topology wikiPageWikiLink Topology.
- Appert_topology wikiPageWikiLink Union_(set_theory).
- Appert_topology wikiPageWikiLinkText "Appert topology".
- Appert_topology wikiPageUsesTemplate Template:Citation.
- Appert_topology wikiPageUsesTemplate Template:Harvtxt.
- Appert_topology wikiPageUsesTemplate Template:Reflist.
- Appert_topology subject Category:General_topology.
- Appert_topology subject Category:Topological_spaces.
- Appert_topology subject Category:Topologies_on_the_set_of_positive_integers.
- Appert_topology hypernym Example.
- Appert_topology type Building.
- Appert_topology type Space.
- Appert_topology comment "In general topology, a branch of mathematics, the Appert topology, named for Appert (1934), is an example of a topology on the set Z+ = {1, 2, 3, …} of positive integers. To give Z+ a topology means to say which subsets of Z+ are open in a manner that satisfies certain axioms: The union of open sets is an open set. The finite intersection of open sets is an open set.".
- Appert_topology label "Appert topology".
- Appert_topology sameAs Q4781043.
- Appert_topology sameAs Przestrzeń_Apperta.
- Appert_topology sameAs m.0dgrpnl.
- Appert_topology sameAs Q4781043.
- Appert_topology wasDerivedFrom Appert_topology?oldid=650693371.
- Appert_topology isPrimaryTopicOf Appert_topology.