differential structure

名词 n.
中文释义

英文释义

名词 n.
  1. A structure defined for a (topological) manifold so that it supports differentiation of functions defined on it.
    — First let (M,#92;tau) be a topological space. The sheaf #92;mathfrak#123;G#125; of real continuous functions on (M,#92;tau) is said to be a differential structure on M if for any open set U#92;in#92;tau, any functions f#95;i#92;in#92;mathfrak#123;G#125;(U), and any w#92;inC#92;infty(#92;mathbb#123;R#125;ⁿ), the superposition w#92;circ(f#95;1,#92;dotsf#95;n)#92;in#92;mathfrak#123;G#125;(U).

词形变化

differential structures plural differentiable structure alternative
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