Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659899 | Topology and its Applications | 2010 | 5 Pages |
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