Fixed points in indecomposable $k$-junctioned tree-like continua
نویسندگان
چکیده
منابع مشابه
Indecomposable Continua and Misiurewicz Points in Exponential Dynamics
In this paper we describe several new types of invariant sets that appear in the Julia sets of the complex exponential functions Eλ(z) = λe z where λ ∈ C. These invariant sets consist of points that share the same itinerary under iteration of Eλ. Since these exponential functions are 2πi periodic, there are several “natural” ways (described below) to decompose the plane into countably many stri...
متن کاملFixed Points for Multi-valued Functions on Snake-like Continua
fibre is the re-dimensional complex projective space (complex projective co-tangent bundle). This bundle of complex dimension 2re + l is our M. Considering the fibre of T(V) as the (2w+2)-dimensional real vector space, we take as P the co-tangent sphere bundle over V (i.e., the fibre of P is a sphere in the fibre of T(V)). T(V) — V is the principal fibre bundle associated with a line bundle L o...
متن کاملIndecomposable Continua in Exponential Dynamics
In this paper we prove the existence of uncountably many indecomposable continua in the dynamics of complex exponentials of the form Eλ(z) = λe z with λ > 1/e. These continua contain points that share the same itinerary under iteration of Eλ. These itineraries are bounded but consist of blocks of 0’s whose lengths increase, and hence these continua are never periodic.
متن کاملCertain Homogeneous Unicoherent Indecomposable Continua
A simple closed curve is the simplest example of a compact, nondegenerate, homogeneous continuum. If a bounded, nondegenerate, homogeneous plane continuum has any local connectedness property, even of the weakest sort, it is known to be a simple closed curve [l, 2, 3].1 The recent discovery of a bounded, nondegenerate, homogenous plane continuum which does not separate the plane [4, 5] has give...
متن کاملA Hereditarily Indecomposable Tree-like Continuum without the Fixed Point Property
A hereditarily indecomposable tree-like continuum without the fixed point property is constructed. The example answers a question of Knaster and Bellamy.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2010
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-09-10165-x