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Názov Minimal spaces with cyclic group of homeomorphisms Aut.údaje Tomasz Downarowicz, Ľubomír Snoha, Dariusz Tywoniuk Autor Downarowicz Tomasz (34%)
Spoluautori Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Tywoniuk Dariusz (33%)
Zdroj.dok. Journal of Dynamics and Differential Equations. Vol. 29, no. 1 (2017), pp. 243-257. - New York : Springer, 2017 Kľúč.slová Continuum (Mathematics) homeomorphisms topologická entropia - topological entropy Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Anotácia There are two main subjects in this paper. (1) For a topological dynamical system we study the topological entropy of its "functional envelopes" (the action of by left composition on the space of all continuous self-maps or on the space of all self-homeomorphisms of ). In particular we prove that for zero-dimensional spaces both entropies are infinite except when is equicontinuous (then both equal zero). (2) We call Slovak space any compact metric space whose homeomorphism group is cyclic and generated by a minimal homeomorphism. Using Slovak spaces we provide examples of (minimal) systems with positive entropy, yet, whose functional envelope on homeomorphisms has entropy zero (answering a question posed by Kolyada and Semikina). Finally, also using Slovak spaces, we resolve a long standing open problem whether the circle is a unique non-degenerate continuum admitting minimal continuous transformations but only invertible: No, some Slovak spaces are such, as well. Kategória publikačnej činnosti ADC Číslo archívnej kópie 39386 Kategória ohlasu AKIN, Ethan - RAUTIO, Juho. Chain transitive homeomorphisms on a space: all or none. In Pacific journal of mathematics. ISSN 0030-8730, 2017, vol. 291, no. 1, pp. 1-49.
BORONSKI, J. P. - CLARK, Alex - OPROCHA, P. A compact minimal space Y such that its square Y x Y is not minimal. In Advances in mathematics. ISSN 0001-8708, 2018, vol. 335, pp. 261-275.
KOLYADA, Sergii. A survey of some aspects of dynamical topology : dynamical compactness and Slovak spaces. In Discrete and continuous dynamical systems : series S. ISSN 1937-1632, 2020, vol. 13, no. 4, pp. 1291-1317.
BORONSKI, Jan P. - CINC, Jernej - FORYS-KRAWIEC, Magdalena. On rigid minimal spaces. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 33, no. 2, pp. 1023-1034.
BORONSKI, Jan P. - KENNEDY, Judy - LIU, Xiao-Chuan - OPROCHA, Piotr. Minimal non-invertible maps on the pseudo-circle. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 33, no. 4, pp. 1897-1916.
BORONSKI, Jan P. - CLARK, Alex - OPROCHA, Piotr. New exotic minimal sets from pseudo-suspensions of cantor systems. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 35, no. 2, pp. 1175–1201.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika Názov Minimal homeomorphisms and flows on topological spaces Aut.údaje Roman Hric Autor Hric Roman 1970- (100%)
Zdroj.dok. 7th Visegrad Conference on Dynamical Systems : Conference Programme and Abstracts. Pp. 13-14. - Opava : Sliezska univerzita v Opave, 2017 ; Visegrad Conference on Dynamical Systems konferencia Kľúč.slová topologické priestory homeomorphisms minimality Form.deskr. abstrakty - abstracts Jazyk dok. angličtina Krajina Česká republika URL Link na plný text Kategória publikačnej činnosti GHG Číslo archívnej kópie 4091 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Title Dense orbits of flows and homeomorphisms on topological spaces Author info Roman Hric Author Hric Roman 1970- (100%)
Source document Czech, Slovenian, Austrian, Slovak and Catalan mathematical societies joint meeting. S. [1]. - Barcelona : Societat Catalana de Matemàtiques, 2016 ; Czech, Slovenian, Austrian, Slovak and Catalan mathematical societies joint meeting odborné stretnutie Keywords dense orbit homeomorphisms homeomorfizmy Form. Descr. abstrakty - abstracts Language English Country Spain URL Link na plný text Public work category GHG No. of Archival Copy 5262 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 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 Title Invariant measures on locally compact spaces and a topological characterization of unimodular Lie groups Par.title Invariantné miery na lokálne kompaktných priestoroch a topologická charakterizácia unimodulárnych Lieových grúp Author info Peter Maličký Author Maličký Peter 1956- (100%)
Source document Mathematica Slovaca. Vol. 38, no. 4 (1988), pp. 345-359. - Bratislava : Slovenská akadémia vied, Matematický ústav SAV, 1988 Keywords lokálne kompaktný priestor homeomorfizmy invariantné miery locally compact spaces homeomorphisms invariant measures Language English Country -CS systematics 51 Annotation Článok sa zaoberá mierami na lokálne kompaktných priestoroch, ktoré sú invariantné vzhľadom na daný systém homeomorfizmov. Measures on locally compact spaces invariant with respect to given system of homeomorphisms are studied Public work category ADF No. of Archival Copy 29468 Repercussion category RIEČAN, Beloslav - NEUBRUNN, Tibor. Integral, measure, and ordering. Dordrecht ; Bratislava : Kluwer Academic Publishers ; Ister Science, 1997. 378 s. ISBN 0-7923-4566-5.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika