Article ID Journal Published Year Pages File Type
4659899 Topology and its Applications 2010 5 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology