Betti Numbers of Small Covers and Their Two-Fold Coverings


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Abstract

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.

About the authors

D. S. Ulyumdzhiev

Moscow State University

Author for correspondence.
Email: dulumzhiev@gmail.com
Russian Federation, Moscow

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