quotient space

== English == === Noun === quotient space (plural quotient spaces) (topology and algebra) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation. 1989, unnamed translator, Nicolas Bourbaki, Elements of Mathematics: General Topology: Chapters 1-4, [1971, N. Bourbaki, Éléments de Mathématique: Topologie Générale 1-4, Masson], Springer, page 110, PROPOSITION 6. Every quotient space of a connected space is connected. ==== Synonyms ==== (space composed of points equivalent to each other in some relation): identification space ==== Related terms ==== quotient map quotient topology ==== Translations ==== === See also === equivalence class quotient group (group theory) === Further reading === Quotient space on Wikipedia.Wikipedia Equivalence class on Wikipedia.Wikipedia