On the transitivity of multifunctions and density of orbits in generalized topological spaces
type: Item
instance of: scholarly article
title: On the transitivity of multifunctions and density of orbits in generalized topological spaces
zbMATH Open document ID: 1265.54016
published in: Acta Mathematica Hungarica
publication date: 2013-01-02T00:00:00Z
review text: Analogues of dynamical properties for iteration of multifunction have been used to model flows of information. Here a multifunction from a generalized topological space to itself is studied, and the main result relates transitivity for the multifunction to residual properties of the set of points with dense orbit. There are some technical hypotheses needed and examples are constructed to illustrate the limits on the results. Basic properties of strongly transitive multifunctions are also developed.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 37C35
Mathematics Subject Classification ID: 54H20
zbMATH DE Number: 6121079
zbMATH Keywords: generalized topological space
zbMATH Keywords: orbit
zbMATH Keywords: transitivity
zbMATH Keywords: nomadic
zbMATH Keywords: multifunction
zbMATH Keywords: Baire property
zbMATH Keywords: strong Baire property
zbMATH Keywords: lower semicontinuous multifunction
author: Anna Loranty
author: Ryszard Pawlak
MaRDI profile type: Publication
full work available at URL: s10474-011-0149-4
OpenAlex ID: W2094977712
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DOI: 10.1007/S10474-011-0149-4
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description: scientific article; zbMATH DE number 6121079