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- First-countable_space abstract "In topology, a branch of mathematics, a first-countable space is a topological space satisfying the \"first axiom of countability\". Specifically, a space X is said to be first-countable if each point has a countable neighbourhood basis (local base). That is, for each point x in X there exists a sequence N1, N2, … of neighbourhoods of x such that for any neighbourhood N of x there exists an integer i with Ni contained in N.Since every neighborhood of any point contains an open neighborhood of that point the neighbourhood basis can be chosen without loss of generality to consist of open neighborhoods.".
- First-countable_space wikiPageID "904940".
- First-countable_space wikiPageLength "4358".
- First-countable_space wikiPageOutDegree "36".
- First-countable_space wikiPageRevisionID "624813459".
- First-countable_space wikiPageWikiLink Axiom_of_countability.
- First-countable_space wikiPageWikiLink Ball_(mathematics).
- First-countable_space wikiPageWikiLink Category:General_topology.
- First-countable_space wikiPageWikiLink Category:Properties_of_topological_spaces.
- First-countable_space wikiPageWikiLink Closure_(topology).
- First-countable_space wikiPageWikiLink Cofiniteness.
- First-countable_space wikiPageWikiLink Continuous_function.
- First-countable_space wikiPageWikiLink Countable_set.
- First-countable_space wikiPageWikiLink Countably_compact_space.
- First-countable_space wikiPageWikiLink Discrete_space.
- First-countable_space wikiPageWikiLink First_uncountable_ordinal.
- First-countable_space wikiPageWikiLink Limit_of_a_function.
- First-countable_space wikiPageWikiLink Limit_of_a_sequence.
- First-countable_space wikiPageWikiLink Limit_point.
- First-countable_space wikiPageWikiLink Mathematics.
- First-countable_space wikiPageWikiLink Metric_space.
- First-countable_space wikiPageWikiLink Neighbourhood_(mathematics).
- First-countable_space wikiPageWikiLink Neighbourhood_system.
- First-countable_space wikiPageWikiLink Order_topology.
- First-countable_space wikiPageWikiLink Product_topology.
- First-countable_space wikiPageWikiLink Real_line.
- First-countable_space wikiPageWikiLink Second-countable_space.
- First-countable_space wikiPageWikiLink Separable_space.
- First-countable_space wikiPageWikiLink Sequence.
- First-countable_space wikiPageWikiLink Sequentially_compact_space.
- First-countable_space wikiPageWikiLink Subset.
- First-countable_space wikiPageWikiLink Subspace_topology.
- First-countable_space wikiPageWikiLink Topological_space.
- First-countable_space wikiPageWikiLink Topology.
- First-countable_space wikiPageWikiLink Without_loss_of_generality.
- First-countable_space wikiPageWikiLinkText "First-countable space".
- First-countable_space wikiPageWikiLinkText "First-countable".
- First-countable_space wikiPageWikiLinkText "countable".
- First-countable_space wikiPageWikiLinkText "first countable".
- First-countable_space wikiPageWikiLinkText "first-countability".
- First-countable_space wikiPageWikiLinkText "first-countable space".
- First-countable_space wikiPageWikiLinkText "first-countable".
- First-countable_space id "f/f040430".
- First-countable_space title "first axiom of countability".
- First-countable_space wikiPageUsesTemplate Template:Springer.
- First-countable_space subject Category:General_topology.
- First-countable_space subject Category:Properties_of_topological_spaces.
- First-countable_space hypernym Space.
- First-countable_space type Property.
- First-countable_space type Space.
- First-countable_space comment "In topology, a branch of mathematics, a first-countable space is a topological space satisfying the \"first axiom of countability\". Specifically, a space X is said to be first-countable if each point has a countable neighbourhood basis (local base).".
- First-countable_space label "First-countable space".
- First-countable_space sameAs Q926996.
- First-countable_space sameAs Primer_axioma_de_numerabilidad.
- First-countable_space sameAs Espace_à_bases_dénombrables_de_voisinages.
- First-countable_space sameAs Spazio_primo-numerabile.
- First-countable_space sameAs 第一可算的空間.
- First-countable_space sameAs 제1_가산_공간.
- First-countable_space sameAs m.03nkwz.
- First-countable_space sameAs Первая_аксиома_счётности.
- First-countable_space sameAs Перша_аксіома_зліченності.
- First-countable_space sameAs Q926996.
- First-countable_space sameAs 第一可數空間.
- First-countable_space wasDerivedFrom First-countable_space?oldid=624813459.
- First-countable_space isPrimaryTopicOf First-countable_space.