Sections of dynamical systems in
Otomar Hájek (1965)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Stable global attractors in ”
Sections of dynamical systems in
Striped structures of stable and unstable sets of expansive homeomorphisms and a theorem of K. Kuratowski on independent sets
Hisao Kato (1993)
Fundamenta Mathematicae
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We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dim X > 0, then the decompositions and of X into stable and unstable sets of f respectively are uncountable, and moreover there is σ (= s or u) and ϱ > 0 such that there is a Cantor set C in X with the property that for each x ∈ C, ...
One dimensional locally setwise homogeneous continua
Beverly Brechner (1972)
Fundamenta Mathematicae
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A fixed point theorem for plane homeomorphisms
Harold Bell (1978)
Fundamenta Mathematicae
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A characterisation of a continuous curve
R. Moore (1925)
Fundamenta Mathematicae
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The purpose of this paper is to prove: Théorème: In order that a continuum M should be a continuous curve it is necessary and sufficient that for every two distinct points A and B of M there should exist a subset of M which consists of a finite number of continua and which separates A from B in M. Théorème: In order that a bounded continuum M should be a continuous curve which contains no domain and does not separate the plane it is necessary and sufficient that for every two distinct...