diffeomorphismn.

Brit.

/ˌdɪfɪə(ʊ)ˈmɔːfɪz(ə)m/, U.S.

/ˌdɪfioʊˈmɔrˌfɪz(ə)m/

Origin: Formed within English, by blending. Etymons: differentiable adj., homoeomorphism n.

Etymology: Blend of differentiable adj. and homoeomorphism n. Compare earlier diffeomorphic adj.

Mathematics.

A smooth (smooth adj. Additions) mapping from one smooth manifold (manifold n.¹ 5) to another.

ΚΠ

1956 Ann. Math. 64 401 A diffeomorphism f is a homeomorphism onto, such that both f and f ⁻¹ are differentiable.

1972 Trans. Moscow Math. Soc. 1970 23 19 Even if the metrical structure of the diffeomorphisms constructed above is simple, their topological structure may turn out to be quite complicated.

1990 T. Petrie & J. Randall Connections, Definite Forms, & Four-manifolds v. 70 Under this condition, ψ is a local diffeomorphism at (1, 0).

2005 M. Lockwood Labyrinth of Time (2007) iv. 87 The original metric field is itself caught up in the transformation associated with the diffeomorphism.

This is a new entry (OED Third Edition, June 2016; most recently modified version published online March 2022).

单词	diffeomorphism
释义	diffeomorphismn. Brit. /ˌdɪfɪə(ʊ)ˈmɔːfɪz(ə)m/, U.S. /ˌdɪfioʊˈmɔrˌfɪz(ə)m/ Origin: Formed within English, by blending. Etymons: differentiable adj., homoeomorphism n. Etymology: Blend of differentiable adj. and homoeomorphism n. Compare earlier diffeomorphic adj. Mathematics. A smooth (smooth adj. Additions) mapping from one smooth manifold (manifold n.¹ 5) to another. ΚΠ 1956 Ann. Math. 64 401 A diffeomorphism f is a homeomorphism onto, such that both f and f ⁻¹ are differentiable. 1972 Trans. Moscow Math. Soc. 1970 23 19 Even if the metrical structure of the diffeomorphisms constructed above is simple, their topological structure may turn out to be quite complicated. 1990 T. Petrie & J. Randall Connections, Definite Forms, & Four-manifolds v. 70 Under this condition, ψ is a local diffeomorphism at (1, 0). 2005 M. Lockwood Labyrinth of Time (2007) iv. 87 The original metric field is itself caught up in the transformation associated with the diffeomorphism. This is a new entry (OED Third Edition, June 2016; most recently modified version published online March 2022). < n.1956
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