quotient space

名词 n.

英文释义

名词 n.
  1. A space obtained from another by identification of points that are equivalent to one another in some equivalence relation.
    — Thus if #92;mathfrak#123;D#125; is an arbitrary decomposition of a space X into mutually disjoint subsets, then the corresponding quotient space is obtained by 'shrinking' or 'identifying' each member of #92;mathfrak#123;D#125; to a single point. For this reason, the quotient spaces are sometimes called identification spaces and quotient maps as^([sic]) identification maps.

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