====== Olakunle Abawonse ====== ====== Euclidean Oriented Matroid Program and Extension Space ====== ===== Abstract for the Combinatorics Seminar 2019 October 29 ===== B. Sturmfels and G.M Ziegler established the sphericity of the extension space for some classes of oriented matroids by introducing strongly euclidean oriented matroids. I will discuss this and how it allows for an inductive proof. ----