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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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Title Minimal extensions of flows with amenable acting groups Author info Matúš Dirbák Author Dirbák Matúš 1983- (100%) UMBFP10 - Katedra matematiky
Source document Israel Journal of Mathematics. Vol. 207, no. 2 (2015), pp. 581-615. - Jerusalem : The Hebrew University Magnes Press, 2015 Keywords minimálny tok minimálne rozšírenie amenabelná grupa minimal flow minimal extension amenable group Language English Country Israel systematics 51 Annotation We construct minimal extensions of flows with locally compact amenable acting groups G in the form of fibre-preserving flows on fibre bundles and affine flows on group bundles. We use these constructions to show that for a large family of groups G, the class of the compact second countable spaces, on which G acts in a (point-free and) minimal way, is closed with respect to countable products Public work category ADC No. of Archival Copy 33374 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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