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arXiv · 1612.00355

Atlas as solution of Sincov's inequality

Petra Augustová·Lubomír Klapka
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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.

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Petra Augustová, Lubomír Klapka. 2016-12-01. Atlas as solution of Sincov's inequality. https://arxiv.org/abs/1612.00355

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