On the ﬁrst prolongational limit set of ﬂows of free mappings
AbstractWe consider an equivalence relation deﬁned for a given ﬂow of the plane which has no ﬁxed points. We prove that the ﬁrst prolongational limit set of every point from the boundary of an equivalence class is contained in the boundary of this class. Moreover, if two points lying on two different boundary orbits of a class are contained in the same component of the complement of an orbit of this class, then each of these two points is contained in the ﬁrst prolongational limit set of the other one.
How to Cite
Le´sniak, Z. (2008). On the ﬁrst prolongational limit set of ﬂows of free mappings. Tamkang Journal of Mathematics, 39(3), 263-269. https://doi.org/10.5556/j.tkjm.39.2008.19