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arXiv · 1211.4900

Exotic Differential Structures in Dimension 2

Sunanda Dikshit·David Gauld
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Abstract

It is known that the long line supports $2^{\aleph_1}$ many non-diffeomorphic differential structures. We show that the long plane supports a similar number of exotic differential structures, ie structures which are not merely diffeomorphic to the product of two structures on the factor spaces.

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Sunanda Dikshit, David Gauld. 2012-11-20. Exotic Differential Structures in Dimension 2. https://arxiv.org/abs/1211.4900

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