Continuous decompositions into cells of different dimensions
John B. Walsh, David Wilson · Pacific Journal of Mathematics · 1984
In 1970 S. Jones showed that the only continuous decomposition of E u into points and A-cells is the trivial decomposition into points. This is extended by showing that, for a pair of positive integers r, s with r + s > n, the only continuous decomposition of E" into points, r-cells, and s-ce\\s is the trivial decomposition into points.