Atlas as solution of Sincov's inequality
Dynamical Systems
2016-12-02 v1 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1612.00355,
title = {Atlas as solution of Sincov's inequality},
author = {Petra Augustová and Lubomír Klapka},
journal= {arXiv preprint arXiv:1612.00355},
year = {2016}
}