The embedding problem in iteration theory

MC Zdun - ESAIM: Proceedings and Surveys, 2014 - esaim-proc.org
This is a survey paper on selected topics concerning the embeddability of given mappings in
real flows. Particular attention will be paid to the relationship between the problem of the …

On the topological equivalence of flows of Brouwer homeomorphisms

Z Leśniak - Journal of Difference Equations and Applications, 2016 - Taylor & Francis
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On strongly irregular points of a Brouwer homeomorphism embeddable in a flow

Z Leśniak - Abstract and Applied Analysis, 2014 - Wiley Online Library
We study the set of all strongly irregular points of a Brouwer homeomorphism f which is
embeddable in a flow. We prove that this set is equal to the first prolongational limit set of …

On properties of the set of invariant lines of a Brouwer homeomorphism

Z Leśniak - Journal of Difference Equations and Applications, 2018 - Taylor & Francis
We present properties of sets of invariant lines for Brouwer homeomorphisms which are not
necessarily embeddable in a flow. Using such lines we describe the structure of equivalence …

On families of invariant lines of a Brouwer homeomorphism

Z Leśniak - Journal of Difference Equations and Applications, 2019 - Taylor & Francis
We present properties of equivalence classes of the codivergency relation defined for a
Brouwer homeomorphism for which there exists a family of invariant pairwise disjoint lines …

On the Topological Conjugacy of Brouwer Flows

Z Leśniak - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
We study the problem of topological conjugacy of Brouwer flows. We give a sufficient and
necessary condition for Brouwer flows to be topologically conjugate. To obtain this result we …