Quotient space may refer to a
quotient set when the sets under consideration are considered as spaces. In particular:
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Quotient space (topology)
In topology and related areas of mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed by endowing the quotient set of the original topological space with the quotient to ...
, in case of topological spaces
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Quotient space (linear algebra), in case of vector spaces
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Quotient space of an algebraic stack In algebraic geometry, the quotient space of an algebraic stack ''F'', denoted by , ''F'', , is a topological space which as a set is the set of all integral substacks of ''F'' and which then is given a "Zariski topology": an open subset has a form ...
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Quotient metric space
In mathematics, a metric space is a set together with a notion of ''distance'' between its elements, usually called points. The distance is measured by a function called a metric or distance function. Metric spaces are the most general setting ...
See also
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Quotient object In category theory, a branch of mathematics, a subobject is, roughly speaking, an object that sits inside another object in the same category. The notion is a generalization of concepts such as subsets from set theory, subgroups from group theory,M ...
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