Article ID Journal Published Year Pages File Type
4660249 Topology and its Applications 2008 8 Pages PDF
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