Exotic Differential Structures in Dimension 2
classification
🧮 math.GN
math.GT
keywords
structuresdifferentialexoticlongsupportsalephdiffeomorphicdimension
read the original 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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