McMullen's g-theorem for simplicial spheres
Let Σ\SigmaΣ be a simplicial sphere of dimension d−1d-1d−1, with fff-vector (f−1,f0,…,fd−1)(f_{-1},f_0,\ldots,f_{d-1})(f−1,f0,…,fd−1) and associated ggg-vector defined by gk(Σ)=hk−hk−1g_k(\Sigma)=h_k-h_{k-1}gk(Σ)=hk−hk−1 for k≤d/2k\leq d/2k≤d/2…