Löbell多面体R(6)上小覆盖的整系数同调群  

The integer coefficients homology group of small cover over Löbell polyhedronR(6)

作　　者：陆晓莹 LU Xiaoying(School of Mathematics,Physics and Electronic Information Engineering,Guangxi Normal University for Nationalities,Chongzuo 532200,China)

机构地区：[1]广西民族师范学院,数理与电子信息工程学院,广西崇左532200

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)。

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.

关 键 词：Löbell多面体 小覆盖 同调群 示性函数 边缘同态 

分 类 号：O189[理学—数学]