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Minimal spaces with cyclic group of homeomorphisms
Title Minimal spaces with cyclic group of homeomorphisms Author info Tomasz Downarowicz, Ľubomír Snoha, Dariusz Tywoniuk Author Downarowicz Tomasz (34%)
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Tywoniuk Dariusz (33%)
Source document Journal of Dynamics and Differential Equations. Vol. 29, no. 1 (2017), pp. 243-257. - New York : Springer, 2017 Keywords Continuum (Mathematics) homeomorphisms topologická entropia - topological entropy Language English Country United States of America systematics 51 Annotation 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. Public work category ADC No. of Archival Copy 39386 Repercussion category 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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Kontaminácia krajiny ťažkými kovmi v rudnom revíre Špania Dolina Par.title Contamination of country by heavy metals in Špania Dolina ore district Author info Jana Dadová Author Dadová Jana 1972- (100%) UMBFP04 - Katedra životného prostredia
Source document Acta Universitatis Matthiae Belii : séria environmentálna výchova. Roč. 14, č. 2 (2012), s. 81-89. - Banská Bystrica : Univerzita Mateja Bela, Fakulta prírodných vied, 2012 / Marková Iveta 1971- ; Halašová Marta 1952- ; Vološčuk Ivan 1935- ; Andráš Peter 1953- ; Dirner Vojtech 1953- ; Majerník Milan ; Piatrik Milan ; Vincíková Soňa ; Drímal Marek 1972- ; Kanianska Radoslava 1967- ; Tomaškin Ján 1963- Keywords ťažké kovy - heavy metals haldy kontaminácie povrchová voda podzemné vody - groundwaters heavy metals dump fields contamination
Number of the records: 1