Title: Single Splitter Details

Abstract: Lee defined the winding number w_k in a Gale diagram corresponding to a given simplicial polytope. He showed that w_k equals g_k of the corresponding polytope. We are working on extending Lee's definition of w_k to nonsimplicial polytopes. In this talk, we will discuss our results when the origin in the Gale diagram falls on a single k-splitter, a hyperplane that separates k points from the rest.