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  1. Title(Non-)expansivity in functional envelopes
    Author infoTarun Das, Ekta Shah, Ľubomír Snoha
    Author Das Tarun (34%)
    Co-authors Shah Ekta (33%)
    Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
    Source document Journal of Mathematical Analysis and Applications. Vol. 410, no. 2 (2014), pp. 1043-1047. - San Diego : Academic Press, 2014
    Keywords functional envelopes   expansivity   manifolds  
    LanguageEnglish
    CountryUnited States of America
    systematics 51
    Public work category ADC
    No. of Archival Copy30207
    Repercussion category 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, special issue, pp. 1291-1317.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
  2. TitleProper minimal sets on compact connected 2-manifolds are nowhere dense
    Par.titleVlastné minimálne množiny na kompaktných súvislých 2-varietách sú riedke
    Author infoSergii Kolyada, Ľubomír Snoha, Sergei Trofimchuk
    Author Kolyada Sergiy (34%)
    Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
    Trofimchuk Sergei (33%)
    Source document Ergodic Theory and Dynamical Systems. Vol. 28, no. 3 (2008), pp. 863-876. - Cambridge : Cambridge University Press, 2008
    Keywords variety - varieties   minimálne množiny   kaktoidy   manifolds   minimal sets   cactoids  
    LanguageEnglish
    CountryGreat Britian
    systematics 51
    AnnotationLet $/mathcal{M}^2$ be a compact connected 2-dimensional manifold, with or without boundary, and let $f:{/mathcal{M}}^2/to /mathcal{M}^2$ be a continuous map. We prove that if $M /subseteq /mathcal{M}^2$ is a minimal set of the dynamical system $(/mathcal{M}^2,f)$ then either $M = /mathcal{M}^2$ or $M$ is a nowhere dense subset of $/mathcal{M}^2$. Moreover, we add a shorter proof of the recent result of Blokh, Oversteegen and Tymchatyn, that in the former case $/mathcal{M}^2$ is a torus or a Klein bottle
    Public work category ADC
    No. of Archival Copy9927
    Repercussion category VLASENKO, I. Yu. Dynamics of inner mappings. In Nonlinear oscillations. ISSN 1536-0059, 2011, vol. 14, no. 2, pp. 187-192.
    MAI, Jie-Hua. Minimal sets in compact connected subspaces. In Topology and its applications. ISSN 0166-8641, 2011, vol. 158, no. 16, pp. 2216-2220.
    DIRBAK, Matus. Minimal extensions of flows with amenable acting groups. In Israel journal of mathematics. ISSN 0021-2172, 2015, vol. 207, no. 2, pp. 581-615.
    BIS, Andrzej - KOZLOWSKI, Wojciech. On minimal homeomorphisms and non-invertible maps preserving foliations. In Topology and its applications. ISSN 0166-8641, 2019, vol. 254, DOI 10.1016/j.topol.2018.11.024, pp. 1-11.
    PARHAM, H. - GHANE, F. H. - EHSANI, A. Iterated function systems : transitivity and minimality. In Boletim da Sociedade Paranaense de Matemática. ISSN 0037-8712, 2020, vol. 38, no. 3, pp. 97-109.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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