HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

An Urysohn-type theorem under a dynamical constraint

Abstract : We address the following question raised by M. Entov and L. Polterovich: given a continuous map f:X→X of a metric space X, closed subsets A,B⊂X, and an integer n≥1, when is it possible to find a continuous function θ:X→ℝ such that θf−θ≤1,θ∣∣A≤0,andθ∣∣B>n? To keep things as simple as possible, we solve the problem when A is compact. The non-compact case will be treated in a later work.
Document type :
Journal articles
Complete list of metadata

Contributor : Albert Fathi Connect in order to contact the contributor
Submitted on : Wednesday, December 7, 2016 - 7:01:30 PM
Last modification on : Tuesday, December 8, 2020 - 10:03:59 AM

Links full text




Albert Fathi. An Urysohn-type theorem under a dynamical constraint. Journal of modern dynamics, American Institute of Mathematical Sciences, 2016, ⟨10.3934/jmd.2016.10.331⟩. ⟨ensl-01412052⟩



Record views