

Quotient space
Quotient space For quotient spaces in linear algebra, see quotient space (linear algebra). In topology and related ...
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Quotient space (linear algebra)
Quotient space (linear algebra) In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. ...
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Quotient
Quotient In mathematics, a quotient is the end result of a division ... in the problem 6 3, the quotient would be 2, while 6 would be ... the dividend, and 3 the divisor. A quotient can also mean just the integral part ... of dividing two integers. For example, the quotient of 13 5 would be ...
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Kolmogorov space
Kolmogorov space In topology and related branches of mathematics ... topological distinguishablity. If X is a topological space and x and y are points in ... between x and y. In an indiscrete space, for example, any two points are topologically ... Definition The definition of a T 0 space is now simple; X is T 0 ... than being separated. In a T 0 space, the second arrow above reverses; points ...
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Hausdorff space
Hausdorff space In topology and related branches of mathematics, a Hausdorff space, separated space or T 2 space is a topological space in which points can be separated ...
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Topological space
Topological space Topological spaces are structures that allow one ... the article on topology. Definition A topological space is a set X together with a ... on a set to form a topological space. When every set in a topology T ... other equivalent ways to define a topological space. (In other words, each of the following ... closed. Another way to define a topological space is using the Kuratowski closure axioms, ...
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Metric space
Metric space In mathematics, a metric space is a set where a notion of ... of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3dimensional Euclidean space. The Euclidean metric of this space ...
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Vector space (translated from German)
Vector space This article requires a revision. Details are ... improve and remove afterwards this marking. Vector space affects the special fields Mathematics Abstract algebra ... cases Body (VR over itself) topological vector space standardized area Praehilbertraum Euclidean area real numbers ... internal multiplication) Associative algebra Lie algebra Vector space is one mathematical structure and the fundamental ... all branches that Mathematics used. A vector space consists of individual vectors, added or ...
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Banach space (translated from Japanese)
Banach space Banach space(Banach く う can,Banach space)Normed spaceSo being, the norm decides distance completion . Hilbert space has become the Banach space in regard to the norm which ...
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Pointed space
Pointed space In mathematics, a pointed space is a topological space X with a distinguished basepoint x 0 ... anyway the case of a pointed discrete space. Category of pointed spaces The class of ... Top) where {•} is any one point space and Top is the category of ...
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