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- Uniform_space abstract "In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with additional structure that is used to define uniform properties such as completeness, uniform continuity and uniform convergence.The conceptual difference between uniform and topological structures is that in a uniform space, one can formalize certain notions of relative closeness and closeness of points. In other words, ideas like "x is closer to a than y is to b" make sense in uniform spaces. By comparison, in a general topological space, given sets A,B it is meaningful to say that a point x is arbitrarily close to A (i.e., in the closure of A), or perhaps that A is a smaller neighborhood of x than B, but notions of closeness of points and relative closeness are not described well by topological structure alone.Uniform spaces generalize metric spaces and topological groups and therefore underlie most of analysis.".
- Uniform_space wikiPageID "32339".
- Uniform_space wikiPageRevisionID "604763544".
- Uniform_space date "July 2013".
- Uniform_space hasPhotoCollection Uniform_space.
- Uniform_space reason "The notion of Hausdorff uniform space is not defined".
- Uniform_space subject Category:Uniform_spaces.
- Uniform_space type Abstraction100002137.
- Uniform_space type Attribute100024264.
- Uniform_space type Space100028651.
- Uniform_space type UniformSpaces.
- Uniform_space comment "In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with additional structure that is used to define uniform properties such as completeness, uniform continuity and uniform convergence.The conceptual difference between uniform and topological structures is that in a uniform space, one can formalize certain notions of relative closeness and closeness of points.".
- Uniform_space label "Espace uniforme".
- Uniform_space label "Espacio uniforme".
- Uniform_space label "Spazio uniforme".
- Uniform_space label "Uniform space".
- Uniform_space label "Uniforme ruimte".
- Uniform_space label "Uniformer Raum".
- Uniform_space label "一様空間".
- Uniform_space label "一致空间".
- Uniform_space sameAs Uniformer_Raum.
- Uniform_space sameAs Espacio_uniforme.
- Uniform_space sameAs Espace_uniforme.
- Uniform_space sameAs Spazio_uniforme.
- Uniform_space sameAs 一様空間.
- Uniform_space sameAs Uniforme_ruimte.
- Uniform_space sameAs m.07yc9.
- Uniform_space sameAs Q652446.
- Uniform_space sameAs Q652446.
- Uniform_space sameAs Uniform_space.
- Uniform_space wasDerivedFrom Uniform_space?oldid=604763544.
- Uniform_space isPrimaryTopicOf Uniform_space.