An atriodic tree-like continuum with positive span
Hereditarily indecomposable tree-like continua
Hereditarily indecomposable tree-like continua, II
Concerning atriodic tree-like continua
An uncountable collection of mutually exclusive planar atriodic tree-like continua with positive span
Inverse limits on intervals using unimodal bonding maps having only periodic points whose periods are all the powers of two
We derive several properties of unimodal maps having only periodic points whose period is a power of 2. We then consider inverse limits on intervals using a single strongly unimodal bonding map having periodic points whose only periods are all the powers of 2. One such mapping is the logistic map, = 4λx(1-x) on [f(λ),λ], at the Feigenbaum limit, λ ≈ 0.89249. It is known that this map produces an hereditarily decomposable inverse limit with only three topologically different subcontinua. Other...
An atriodic tree-like continuum with positive span which admits a monotone mapping to a chainable continuum
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