Beginning with G.W. Leibniz in the 17 th , L. Euler in the 18 th , B. Reimann, J.B. Listing and A.F. Mobius in the 19 th and H. Poincare in the 20 th centuries, “analysis situs” (Riemann) or “topology” (Listing) has been used to provide answers to questions concerning what is most fundamental in physical explanation. That question itself implies the question concerning what mathematical structures one uses with confidence to adequately “paint” or describe physical models built from empirical… Expand