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Title Minimal direct products Author info Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský Author Dirbák Matúš 1983- (34%) UMBFP10 - Katedra matematiky
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (33%) UMBFP10 - Katedra matematiky
Source document Transactions of the American Mathematical Society. Vol. 375, no. 9 (2022), s. 6453-6506. - Providence : American Mathematical Society, 2022 Keywords algebra - algebra dynamické systémy - dynamical systems minimálnosť minimálny priestor Form. Descr. články - journal articles Language English Country United States of America URL Link na plný text Public work category ADC No. of Archival Copy 53035 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 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 article
Title Product-minimal spaces Author info Marek Dirbák Author Dirbák Matúš 1983- (100%)
Source document DEA 2019 : book of abstracts. Pp. 24. - Kraków : AGH University of Science and Technology, 2019 ; Dynamics, equations and applications medzinárodná konferencia Keywords dynamika - dynamics aplikovaná matematika - applied mathematics rovnice - equations Form. Descr. abstrakty - abstracts Language English Country Poland URL Link na zdrojový dokument Public work category GHG No. of Archival Copy 3448 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Minimality for actions of abelian semigroups on compact spaces with a free interval Author info Matúš Dirbák, Roman Hric ... [et al.] Author Dirbák Matúš 1983- (20%) UMBFP10 - Katedra matematiky
Co-authors Hric Roman 1970- (20%) UMBFP10 - Katedra matematiky
Maličký Peter 1956- (20%) UMBFP10 - Katedra matematiky
Snoha Ľubomír 1955- (20%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (20%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 39, no. 11 (2019), pp. 2968-2982. - Cambridge : Cambridge University Press, 2019 Keywords Abelovské grupy - Abelian groups minimal group action minimal sets matematika - mathematics Form. Descr. články - journal articles Language English Country Great Britian URL Link na plný text Public work category ADC No. of Archival Copy 46104 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
unrecognised
Title Minimal flows on direct products Author info Marek Dirbák Author Dirbák Matúš 1983- (100%)
Source document Czech-Slovak workshop on discrete dynamical systems 2018. Pp. 13. - Banská Bystrica : Fakulta prírodných vied Univerzity Mateja Bela, 2018 ; Czech-Slovak workshop on dynamical systems 2018 workshop Keywords matematika - mathematics algebra - algebra Form. Descr. abstrakty - abstracts Language English Country Slovak Republic URL Link na zdrojový dokument Public work category GHG No. of Archival Copy 21917 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
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 unrecognised
Title Group extensions of minimal flows Author info Matúš Dirbák Author Dirbák Matúš 1983- (100%)
Source document Czech-Slovak workshop on discrete dynamical systems 2014. Pp. 7. - Opava : Slezská univerzita v Opavě, 2014 ; Czech-Slovak workshop on discrete dynamical systems 2014 workshop Keywords matematika - mathematics algebra - algebra Form. Descr. abstrakty - abstracts Language English Country Slovak Republic URL Link na zdrojový dokument Public work category GHG No. of Archival Copy 5402 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Študentská osobnosť Slovenska 2011/2012 - veľký úspech Fakulty prírodných vied UMB Author info Ján Spišiak, Ľubomír Snoha Author Spišiak Ján 1953- (50%) UMBFP01 - Katedra geografie a geológie
Co-authors Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Source document Spravodajca Univerzity Mateja Bela v Banskej Bystrici : Universitas Matthiae Belii. Roč. 19, č. 5 (máj-jún) (2012/13), s. 23. - Banská Bystrica : Univerzita Mateja Bela, 2013 Person keywords Dirbák Matúš 1983- Keywords ocenenia matematická analýza - mathematical analysis Language Slovak Country Slovak Republic systematics 517 Public work category GII No. of Archival Copy 27170 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika Numbers 2012/13: 5 article
Title Minimality, transitivity, mixing and topological entropy on spaces with a free interval Author info Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský Author Dirbák Matúš 1983- (34%) UMBFP10 - Katedra matematiky
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (33%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 33, no. 6 (2013), pp. 1786-1812. - Cambridge : Cambridge University Press, 2013 Keywords topologická entropia - topological entropy transitive system mixing system dense periodicity Continuum (Mathematics) disconnecting interval Language English Country Great Britian systematics 51 URL Link na zdrojový dokument Public work category ADC No. of Archival Copy 22153 Repercussion category HOEHN, Logan - MOURON, Christopher. Hierarchies of chaotic maps on continua. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2014, vol. 34, pp. 1897-1913.
HARANCZYK, Grzegorz - KWIETNIAK, Dominik - OPROCHA, Piotr. Topological structure and entropy of mixing graph maps. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2014, vol. 34, pp. 1587-1614.
OPROCHA, Piotr. Transitivity, two-sided limit shadowing property and dense omega-chaos. In Journal of the Korean mathematical society. ISSN 0304-9914, 2014, vol. 51, no. 4, pp. 837-851.
MAI, Jiehua - SHI, Enhui - WANG, Suhua. Sensitive semigroups of mappings on Peano continua having a free arc. In Topology and its applications. ISSN 0166-8641, 2015, vol. 194, pp. 159-165.
SHI, En Hui - WANG, Su Hua - MA, Li Ying. Sensitive open maps on Peano continua having a free arc. In Acta mathematica sinica - english series. ISSN 1439-8516, 2016, vol. 32, no. 6, pp. 736-744.
GARG, Mukta - DAS, Ruchi. Exploring stronger forms of transitivity on G-spaces. In Matematicki vesnik. ISSN 0025-5165, 2017, vol. 69, no. 3, pp. 164-175.
ACOSTA, Gerardo - HERNÁNDEZ-GUTIÉRREZ, Rodrigo - NAGHMOUCHI, Issam - OPROCHA, Piotr. Periodic points and transitivity on dendrites. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7, pp. 2017-2033.
BYSZEWSKI, Jakub - FALNIOWSKI, Fryderyk - KWIETNIAK, Dominik. Transitive dendrite map with zero entropy. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7, pp. 2077-2083.
SHI, Enhui - WANG, Suhua - DI, Yan. Sensitivity of dendrite maps. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2017, vol. 446, no. 1, pp. 908-919.
FADEL, Asmaa - DZUL-KIFLI, Syahida Che. Some chaos notions on dendrites. In Symmetry (Basel). ISSN 2073-8994, 2019, vol. 11, no. 10, pp. 1-10.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Minimal skew products with hypertransitive or mixing properties Author info Matúš Dirbák Author Dirbák Matúš 1983- (100%) UMBFP10 - Katedra matematiky
Source document Discrete and Continuous Dynamical Systems. Vol. 32, no. 5 (2012), pp. 1657-1674. - Sprinfield : American Institute of Mathematical Sciences, 2012 Keywords šikmý súčin hypertranzitívne vlastnosti minimálnosť homeomorphisms minimality homeomorfizmy skew product hypertransitive property strong mixing Language English Country United States of America systematics 51 Public work category ADC No. of Archival Copy 22773 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised