Betti Numbers of Small Covers and Their Two-Fold Coverings

Сибирский математический журнал

D. S. Ulyumdzhiev¹ 

[1] Steklov Mathematical Institute of the Russian Academy of Sciences

关键词: simple polyhedron;    small cover;    two-fold covering;    cohomology of two-fold coverings;   

DOI  :  10.1134/S0037446618030175

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

We compute the Betti numbers of two-fold coverings of small covers with some special properties; in particular, we use the results of Davis and Januszkiewicz on the cohomology of small covers. It turned out that their proof contains some gap that we describe in detail and fill in.

【 授权许可】

CC BY