The well-known "necklace splitting theorem" of Alon (1987) asserts that every k-colored necklace can be fairly split into q parts using at most t cuts, provided k(q - 1) ≤ t. In a joint paper with ...

For each integer q ≥ 0, there is a cohomology theory A₁ such that the zero cohomology group $A_1^0(N)$ of a manifold N of dimension n is a certain group of ...