Atlas as solution of Sincov's inequality
  We find a solution of Sincov's inequality. Further, we prove that in the differentiable case we can interpret such solution as a differentiable manifold in the original sense of Lang. This allows to generalize the notion of atlas and transition map for non-differentiable and discontinuous case. 
Petra Augustov\'a, Lubom\'ir Klapka
math.DS math.CA