Positively expansive open maps of Peano spaces
نویسندگان
چکیده
منابع مشابه
On persistently positively expansive maps
In this paper, we prove that any C1-persistently positively expansive map is expanding. This improves a result due to Sakai (Sakai 2004).
متن کاملPositively expansive homeomorphisms of compact spaces
We give a new and elementary proof showing that a homeomorphism f : X → X of a compact metric space is positively expansive if and only if X is finite.
متن کاملPositively expansive dynamical systems
We introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectively) discrete dynamical systems. Both are topological generalizations of the well-known metric notion of positive expansiveness (PE). We prove that the three notions are identical on compact metrizable spaces, but not on noncompact spaces. We investigate properties of PE, wPE, and sPE dynamical systems a...
متن کاملDynamics of non-expansive maps on strictly convex Banach spaces
This paper concerns the dynamics of non-expansive maps on strictly convex finite dimensional normed spaces. By using results of Edelstein and Lyubich, we show that if X = (R, ‖ · ‖) is strictly convex and X has no 1-complemented Euclidean plane, then every bounded orbit of a non-expansive map f : X → X , converges to a periodic orbit. By putting extra assumptions on the derivatives of the norm,...
متن کاملExpansive Actions on Uniform Spaces and Surjunctive Maps
We present a uniform version of a result of M. Gromov on the surjunctivity of maps commuting with expansive group actions and discuss several applications.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1990
ISSN: 0166-8641
DOI: 10.1016/0166-8641(90)90020-3