On the transitivity of multifunctions and density of orbits in generalized topological spaces
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.
scientific article; zbMATH DE number 6121079
scientific article