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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 topology, that is, with the finest topology that makes continuous the canonical projection map (the function that…

Examples, Compatibility with other topological notions & Quotient map

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Quotient map

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Compatibility with other topological notions

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Quotient space (topology)

Nodes69
Edges68
Triples0
Avg. degree1.97
Density0.028986
Components1

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Important terminology

displaystyle quotient space map sim topology equivalence topological closed set continuous open points relation isbn mathbb every oclc class -1

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