Recent results on iteration theory: iteration groups and semigroups in the real case

MC Zdun, P Solarz - Aequationes mathematicae, 2014 - Springer
In this survey paper we present some recent results in the iteration theory. Mainly, we focus
on the problems concerning real iteration groups (flows) and semigroups (semiflows) such …

On parallelizability of flows of free mappings

Z Leśniak - aequationes mathematicae, 2006 - Springer
We consider a flow of free mappings defined on the plane. We prove that the boundary of
every equivalence class of a certain equivalence relation is a union of orbits and that at most …

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
Full article: On the topological equivalence of flows of Brouwer homeomorphisms Skip to Main
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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 …

[PDF][PDF] On continuous iteration groups of some homeomorphisms of the plane

Z LE SNIAK - Iteration Theory (ECIT 94)(Opava), Grazer Math. Ber - conferences.math.slu.cz
We consider the problem of determining all continuous iteration groups {ft: t∈ R} of a free
mapping f. Some of free mappings which are not Sperner homeomorphisms are considered …

On a topological characterization of the real line

J Rätz - Results in Mathematics, 1995 - Springer
Results in Mathematics Vol. 27 (1995) 0378-6218/95/040395-07$1.50 +0. 20/0 (c) 1995
Birkhliuser Verlag, Basel ON A TOPOLOGICAL C Page 1 Results in Mathematics Vol. 27 (1995) …

[引用][C] ITERATION THEORY (ECIT'06)

GL Forti, D Gronau, L Paganoni… - … 10-16, 2006, 2007 - Karl-Franzens-Universität Graz …