Fundamental class

In mathematics, the fundamental class is a homology class [M] associated to an oriented manifold M of dimension n, which corresponds to the generator of the homology group $H_n(M;\mathbf{Z})\cong\mathbf{Z}$ . The fundamental class can be thought of as the orientation of the top-dimensional simplices of a suitable triangulation of the manifold.

单词	Fundamental class
释义	Fundamental class 英语百科 Fundamental class In mathematics, the fundamental class is a homology class [M] associated to an oriented manifold M of dimension n, which corresponds to the generator of the homology group $H_n(M;\mathbf{Z})\cong\mathbf{Z}$ . The fundamental class can be thought of as the orientation of the top-dimensional simplices of a suitable triangulation of the manifold.
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