2009/05/13 by Роман Карасев, R. N. Karasev, A Yu Volovikov +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AT #msc:55M20 #msc:55M35 #msc:55Q91
paper · pdf · doi:10.1016/j.topol.2009.12.010
published as Topology and its Applications, 157:5, 2010, 941-945
arxiv created 2009/05/13 · openalex publication_date 2010/01/06 · arxiv updated 2011/07/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02
In this paper some new cases of Knaster's problem on continuous maps from spheres are established. In particular, we consider an almost orbit of a p-torus X on the sphere, a continuous map f from the sphere to the real line or real plane, and show that X can be rotated so that f becomes constant on X.