2 papers
math.DG2025
Differentiable structures on a union of two open sets
Mykola Lysynskyi, Sergiy Maksymenko
In a recent paper the authors classified differentiable structures on the non-Hausdorff one-dimensional manifold called the line with two origins which is obtained by…
math.GT2024
Classification of differentiable structures on the non-Hausdorff line with two origins
Mykola Lysynskyi, Sergiy Maksymenko
We classify differentiable structures on a line with two origins being a non-Hausdorff but one-dimensional manifold obtained by ``doubling'' . For $k\in\mathb…