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- Box_topology abstract "In topology, the cartesian product of topological spaces can be given several different topologies. One of the more obvious choices is the box topology, where a base is given by the Cartesian products of open sets in the component spaces. Another possibility is the product topology, where a base is given by the Cartesian products of open sets in the component spaces, only finitely many of which cannot equal the entire component space. While the box topology has a somewhat more intuitive definition than the product topology, it satisfies fewer desirable properties. In particular, if all the component spaces are compact, the box topology on their Cartesian product will not necessarily be compact, although the product topology on their Cartesian product will always be compact. In general, the box topology is finer than the product topology, although the two agree in the case of finite direct products (or when all but finitely many of the factors are trivial).".
- Box_topology wikiPageID "954333".
- Box_topology wikiPageRevisionID "597000014".
- Box_topology b "n=1".
- Box_topology hasPhotoCollection Box_topology.
- Box_topology id "3095".
- Box_topology p "Infinity".
- Box_topology title "Box topology".
- Box_topology subject Category:Binary_operations.
- Box_topology subject Category:Topological_spaces.
- Box_topology type Abstraction100002137.
- Box_topology type Attribute100024264.
- Box_topology type MathematicalSpace108001685.
- Box_topology type Set107999699.
- Box_topology type Space100028651.
- Box_topology type TopologicalSpaces.
- Box_topology comment "In topology, the cartesian product of topological spaces can be given several different topologies. One of the more obvious choices is the box topology, where a base is given by the Cartesian products of open sets in the component spaces. Another possibility is the product topology, where a base is given by the Cartesian products of open sets in the component spaces, only finitely many of which cannot equal the entire component space.".
- Box_topology label "Box topology".
- Box_topology label "Topologie des boîtes".
- Box_topology sameAs Topologie_des_boîtes.
- Box_topology sameAs 상자_위상.
- Box_topology sameAs m.03t13y.
- Box_topology sameAs Q4951625.
- Box_topology sameAs Q4951625.
- Box_topology sameAs Box_topology.
- Box_topology wasDerivedFrom Box_topology?oldid=597000014.
- Box_topology isPrimaryTopicOf Box_topology.