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First cohomology groups of minimal flows
Title First cohomology groups of minimal flows Author info Matúš 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 Language English Country Poland Annotation Our 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. URL Link na plný text Public work category ADC No. of Archival Copy 50821 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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