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Matematicheskie Zametki, 2008, Volume 83, Issue 6, Pages 803–814
DOI: https://doi.org/10.4213/mzm3887 (Mi mzm3887) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stable Cohomology of Compact Homogeneous Spaces

V. V. Gorbatsevich

Moscow State Aviation Technological University
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DOI: https://doi.org/10.4213/mzm3887
Abstract: The cohomology of certain compact homogeneous spaces is studied. The notion of stable cohomology (invariant under the passage to a finite covering) is introduced; examples of the calculation of this cohomology (Theorem 1) and its application to the study of the structure of compact homogeneous spaces (Theorem 2) are given. Several conjectures about properties of stable cohomology related to various areas of mathematics (such as topology and the cohomology of discrete (in particular, polycyclic) groups) are stated.
Keywords: stable cohomology, compact homogeneous space, finite covering, polycyclic group, Lie group, homotopy group, Seifert fibration.
Received: 25.10.2002
Revised: 22.08.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 6, Pages 735–743
DOI: https://doi.org/10.1134/S0001434608050192
Bibliographic databases:
UDC: 515.164
Language: Russian
Citation: V. V. Gorbatsevich, “Stable Cohomology of Compact Homogeneous Spaces”, Mat. Zametki, 83:6 (2008), 803–814; Math. Notes, 83:6 (2008), 735–743
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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