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    Huang, Wen Khilko, Danylo Kolyada, Sergiĭ and Zhang, Guohua 2016. Dynamical compactness and sensitivity. Journal of Differential Equations, Vol. 260, Issue. 9, p. 6800.
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Spaces of transitive interval maps

  • SERGIĬ KOLYADA (a1), MICHAŁ MISIUREWICZ (a2) and L’UBOMÍR SNOHA (a3)
Abstract

On a compact real interval, the spaces of all transitive maps, all piecewise monotone transitive maps and all piecewise linear transitive maps are considered with the uniform metric. It is proved that they are contractible and uniformly locally arcwise connected. Then the spaces of all piecewise monotone transitive maps with given number of pieces as well as various unions of such spaces are considered and their connectedness properties are studied.

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© Cambridge University Press, 2014 
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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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