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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 696–701
DOI: https://doi.org/10.17377/smzh.2018.59.317 (Mi smj3004) 		 
Betti numbers of small covers and their two-fold coverings

D. S. Ulyumdzhievab

a Lomonosov Moscow State University, Moscow, Russia
b Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.317
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.
Keywords: simple polyhedron, small cover, two-fold covering, cohomology of two-fold coverings.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-2907.2017.1
Russian Foundation for Basic Research 18-51-50005
The author was supported by the President of the Russian Federation (Grant MD-2907.2017.1) and the Russian Foundation for Basic Research (Grant 18-51-50005).
Received: 22.09.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 551–555
DOI: https://doi.org/10.1134/S0037446618030175
Bibliographic databases:
Document Type: Article
UDC: 515.146.39
MSC: 35R30
Language: Russian
Citation: D. S. Ulyumdzhiev, “Betti numbers of small covers and their two-fold coverings”, Sibirsk. Mat. Zh., 59:3 (2018), 696–701; Siberian Math. J., 59:3 (2018), 551–555
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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