Separable space
Separable space In topology and related areas of mathematics a topological space is called separable if it contains a countable dense subset ... of elements whose closure is the entire space. This condition is typical of spaces ...
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Polish space
Polish space In mathematics, a Polish space is a separable completely metrisable topological space; that is, a space homeomorphic to a complete metric space ...
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Compact space   (translated from French)
Compact space compactness is an important topological property. Compact ... it" (a continuation from points of this space always admits a under-continuation which even ... much from the others). Within a framework metric that also appears by the character fermé ... Synopsis Definitions Opened coverings, compactness A topological space not vacuum K is known ... maths>K part; of a topological space X is known as ...
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Talk:Fréchet space
Talk:Fréchet space Complete??? what does it mean that a Frechet space is complete??? Excerpt fromcomplete space follows: "Note that completeness is a property of the metric and not of the topology, meaning that a complete metric space can be homeomorphic to a ...
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Cantor space
Cantor space In mathematics, the term Cantor space is sometimes used to denote the topological ... of the classical Cantor set: A topological space is a Cantor space if it is homeomorphic to the Cantor ... set itself is of course a Cantor space. But the canonical example of a ...
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Lp space
Lp space The correct title of this article is L p space. It features superscript or subscript characters that ... spaces. See also root mean square, Hardy space. L p spaces have applications in the ... element analysis. Motivation The simplest L p space is the Euclidean space R n . The length of a ...
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Separable sigma algebra
Separable sigma algebra In mathematics, σ-algebras are ... in the context of measure theory. A separable σ-algebra (or separable σ-field) is a sigma algebra that ... to the article on sigma algebras. A separable measure space has a natural metric that renders ...
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Inner product space
Inner product space For the scalar product or dot product ... dot product. In mathematics, an inner product space is a vector space with additional structure, an inner product (also ... studied in functional analysis. An inner product space is sometimes also called a pre-Hilbert space, since its completion with respect to ...
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Lindelöf space
Lindelöf space In mathematics, a Lindelöf space is a topological space in which every open cover has a countable subcover. A Lindelöf space is a generalization of the more commonly ... by the Morita theorem, every regular Lindelöf space is paracompact. Also, any second-countable ...
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Second-countable space
Second-countable space In topology, a second-countable space is a topological space satisfying the "second axiom of countability". Specifically, a space is said to be second-countable if ... the number of open sets that a space can have. In general, the finer ...
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