Number of the records: 1  

First cohomology groups of minimal flows

  1. TitleFirst cohomology groups of minimal flows
    Author infoMatúš Dirbák
    Author Dirbák Matúš 1983- (100%) UMBFP10 - Katedra matematiky
    Source document Dissertationes Mathematicae. Vol. 562 (2021), pp. 1-206 [10,30 AH]. - Warszawa : Polska Akademia Nauk, 2021
    Keywords minimálny tok   algebraic aspects   algebraická topológia - algebraic topology  
    Form. Descr.štúdie - studies
    LanguageEnglish
    CountryPoland
    AnnotationOur interest in the thesis is in group extensions of minimal flows with compact abelian groups in the fibres. We study their structure from categorical and algebraic points of view, and describe relations of their dynamics to the one-dimensional algebraic-topological invariants. We determine the first cohomology groups of flows with simply connected acting groups and those of topologically free flows possessing a free cycle. As an application we show that minimal extensions of these flows not only do exist, but they have a rich algebraic structure.
    URLLink na plný text
    Public work category ADC
    No. of Archival Copy50821
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.