杨海波, 赖江虹. 基于层论的拓展Mayer-Vietoris序列[J]. 南昌航空大学学报(自然科学版), 2013, 27(3): 54-56. DOI: 10.3969/j.issn.1001-4926.2013.09.009
引用本文: 杨海波, 赖江虹. 基于层论的拓展Mayer-Vietoris序列[J]. 南昌航空大学学报(自然科学版), 2013, 27(3): 54-56. DOI: 10.3969/j.issn.1001-4926.2013.09.009
YANG Hai-bo, LAI Jiang-hong. Sheaf Version of Generalized Mayer-Vietoris Sequence[J]. Journal of nanchang hangkong university(Natural science edition), 2013, 27(3): 54-56. DOI: 10.3969/j.issn.1001-4926.2013.09.009
Citation: YANG Hai-bo, LAI Jiang-hong. Sheaf Version of Generalized Mayer-Vietoris Sequence[J]. Journal of nanchang hangkong university(Natural science edition), 2013, 27(3): 54-56. DOI: 10.3969/j.issn.1001-4926.2013.09.009

基于层论的拓展Mayer-Vietoris序列

Sheaf Version of Generalized Mayer-Vietoris Sequence

  • 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.

     

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