English

Exotic Differential Structures in Dimension 2

General Topology 2012-11-22 v1 Geometric Topology

Abstract

It is known that the long line supports 212^{\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.

Keywords

Cite

@article{arxiv.1211.4900,
  title  = {Exotic Differential Structures in Dimension 2},
  author = {Sunanda Dikshit and David Gauld},
  journal= {arXiv preprint arXiv:1211.4900},
  year   = {2012}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-21T22:41:54.520Z