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arxiv: q-alg/9507030 · v1 · submitted 1995-07-26 · q-alg · dg-ga· math.DG· math.QA

Submanifolds and Quotient Manifolds in Noncommutative Geometry

classification q-alg dg-gamath.DGmath.QA
keywords manifoldsnoncommutativequotientsubmanifoldscalculusdefinedefinitionsderivation-based
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We define and study noncommutative generalizations of submanifolds and quotient manifolds, for the derivation-based differential calculus introduced by M.~Dubois-Violette and P.~Michor. We give examples to illustrate these definitions.

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