摘要
研究Löbell多面体R(6)上小覆盖的整系数同调群,给出R(6)上的(Z_(2))^(3)-染色(示性函数λ)和莫尔斯函数,得到R(6)上小覆盖M^(3)(λ)的胞腔分解和胞腔链复形,由胞腔链复形边缘同态的计算得到R(6)上小覆盖的整系数同调群的结果.
The integer coefficients homology group of small cover over Löbell polyhedron R(6)is studied.By giving a(Z_(2))^(3)-colouration(characteristic function λ)and Morse function of R(6),the cell decomposition and a cellular chain complex of small coverM^(3)(λ)overR(6)can be given.According to calculate the boundary homomorphism of the cellular chain complex,the result for the integer coefficients homology group of small cover over Löbell polyhedronR(6)can be given.
作者
陆晓莹
LU Xiaoying(School of Mathematics,Physics and Electronic Information Engineering,Guangxi Normal University for Nationalities,Chongzuo 532200,China)
出处
《高师理科学刊》
2021年第3期6-11,共6页
Journal of Science of Teachers＇College and University
基金
2020年度广西高校中青年教师科研基础能力提升项目(2020KY19011)
2020年度广西民族师范学院校级科研资助项目(2020QN005)。
关键词
Löbell多面体
小覆盖
同调群
示性函数
边缘同态
Löbell polyhedron
small cover
homology group
characteristic function
boundary homomorphism
