Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660249 | Topology and its Applications | 2008 | 8 Pages |
Abstract
The main result of this paper is an n-dimensional version of the Steinhaus' chessboard theorem. Our theorem implies the Poincaré theorem as well as its parametric extension. But it is known that the Poincaré theorem is equivalent to the Brouwer Fixed-Point theorem.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology