基于层论的拓展Mayer-Vietoris序列
Sheaf Version of Generalized Mayer-Vietoris Sequence
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摘要: 微分流形上的微分形式层都是软层,对于微分流形的开覆盖,从层论观点和Cech-de Rham复形得到拓展Mayer-Vietoris序列和拓展Mayer-Vietoris定理。Abstract: The sheaves of germs of differential forms on a smooth manifold are soft. To an open covering of a smooth manifold, the generalized Mayer-vietoris sequence and Mayer-vietoris theorem can be obtained from the sheaf theoretic viewpoint, with the aid of Cech-de Rham complex.