In this paper, we show the following splitting theorem: For a proper CAT(0) space X with the geodesic extension property, if a group Γ = G₁ × G₂ acts geometrically (i.e., properly discontinuously and ...
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 ...
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