KnowraBasis (topology)Linked fromLinked fromThe 7 pages that link to Basis (topology), each with the reason it gives.All 7Broader topic 3Related 4TopologyRelated: Bases provide compact descriptions of the open sets defining a space.Open setRelated: A basis can specify all open sets without listing them individually.Topological spaceBroader topic: A basis can specify the same topology with a smaller collection of sets.General topologyBroader topic: Bases let a topology be specified through a smaller, manageable collection.Tube lemmaRelated: Product-basis rectangles reduce the proof to finitely many coordinate neighborhoods.Lindelöf's lemmaRelated: Second-countability means that some basis for the topology is countable.Zero-dimensional spaceBroader topic: Zero-dimensionality requires such a basis to consist entirely of clopen sets.