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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 
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Title Fixed point theorems for plane continua with applications Author info Alexander M. Blokh ... [et al.] Author Blokh A.
Issue data Providence : American Mathematical Society , 2013. - 97 s., 25 cm Issue [1st ed.] Edition Memoirs of the American Mathematical Society , 224 ISBN 978-0-8218-8488-1 ISSN 0065-9266 Note Bibliografia s. 91-93. Register Keywords matematika - mathematics kontinuum aplikovaná matematika - applied mathematics Continuum (Mathematics) Language English Country United States of America systematics 51-7 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 
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Call number Location Sublocation Umiestnenie Info 340841 Univerzita Mateja Bela Department of mathematics In-Library Use Only 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 Omega-limit sets in hereditarily locally connected continua Par.title Omega-limitné množiny v dedične lokálne súvislých kontinuách Author info Vladimír Špitalský Author Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Source document Topology and its Applications. Vol. 155, no. 11 (2008), pp. 1237-1255. - Amsterdam : Elsevier B.V., 2008 Keywords Omega-limit sets Continuum (Mathematics) hereditarily locally connected continuum Language English Country Netherlands systematics 51 Public work category ADE No. of Archival Copy 9937 Repercussion category ACOSTA, G. - ILLANES, A. - MÉNDEZ-LANGO, H. The transitivity of induced maps. In Topology and its applications. ISSN 0166-8641, 2009, vol. 156, no. 5, pp. 1013-1033.
KITCHENS, B. - MISIUREWICZ, M. Omega-limit sets for spiral maps. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2010, vol. 27, no. 2, pp. 787-798.
BALIBREA, F. - CARABALLO, T. - KLOEDEN, P. E. - VALERO, J. Recent developments in dynamical systems : three perspectives. In International journal of bifurcation and chaos. ISSN 0218-1274, 2010, vol. 20, no. 9, pp. 2591-2636.
BALIBREA, F. - GUIRAO, J. L. G. - LAMPART, M. A note on the definition of α-limit set. In Applied mathematics and information sciences. ISSN 1935-0090, 2013, vol. 7, no. 5, pp. 1929-1932.
ASKRI, Ghassen - NAGHMOUCHI, Issam. On totally periodic omega-limit sets in regular continua. In Chaos solitons & fractals. ISSN 0960-0779, 2015, vol. 75, pp. 91-95.
D'ANIELLO, Emma. ω-Limit sets of discrete-time dynamical systems. In Advances in discrete dynamics. New York : Nova Science Publishers, 2012. ISBN 978-161209678-0, pp. 91-114.
MARZOUGUI, Habib - NAGHMOUCHI, Issam. On totally periodic omega-limit sets. In Houston journal of mathematics. ISSN 0362-1588, 2017, vol. 43, no. 4, pp. 1291-1303.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Topics on Continua Author info Sergio Macías Author Macías Sergio
Issue data Boca Raton : Chapman & Hall/CRC , 2005. - 361 s. : il., 24 cm Issue [1. ed.] ISBN 0-8493-3738-0 Note Bibliogr. odkazy Keywords matematika - mathematics rozklady Continuum (Mathematics) decomposition Hyperspace Language English Country United States of America systematics 514/.325 =111 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 
book
Call number Location Sublocation Umiestnenie Info 281960 Univerzita Mateja Bela Department of mathematics In-Library Use Only
