Sarkovskii's Theorem for Hereditarily Decomposable Chainable Continua

DOI10.2307/2001378zbMath0676.54041OpenAlexW4239291702MaRDI QIDQ3831706

Piotr Minc, William R. R. Transue

Publication date: 1989

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001378

zbMATH Keywords

chainable continuaperiodic pointsSharkovskij's Theorem

Mathematics Subject Classification ID

Related Items (14)

The Sarkovskii order for periodic continua ⋮ An extension of Šarkovskiư's Theorem to the n-od ⋮ The dynamics of homeomorphisms of hereditarily decomposable chainable continua ⋮ Chaos and indecomposability ⋮ Stability of periodic orbits and return trajectories of continuous multi-valued maps on intervals ⋮ The Sarkovskii order for periodic continua. II ⋮ Accessible Points of Hereditarily Decomposable Chainable Continua ⋮ A monotonically irreducible map of a reducible continuum onto [0,1] ⋮ Topological entropy and IE-tuples of indecomposable continua ⋮ Chaotic continua in chaotic dynamical systems ⋮ Monotone maps of 𝐺-like continua with positive topological entropy yield indecomposability ⋮ On inverse limit spaces of maps of an interval with zero entropy ⋮ Recurrent and periodic points in dendritic Julia sets ⋮ Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces

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