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First cohomology groups of minimal flows
Názov First cohomology groups of minimal flows Aut.údaje Matúš Dirbák Autor Dirbák Matúš 1983- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. Dissertationes Mathematicae. Vol. 562 (2021), pp. 1-206 [10,30 AH]. - Warszawa : Polska Akademia Nauk, 2021 Kľúč.slová minimálny tok algebraic aspects algebraická topológia - algebraic topology Form.deskr. štúdie - studies Jazyk dok. angličtina Krajina Poľsko Anotácia 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 Kategória publikačnej činnosti ADC Číslo archívnej kópie 50821 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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Počet záznamov: 1