Small Exotic R4s
An exotic R4 is called small if it can be smoothly embedded as an open subset of the standard R4.
Small exotic R4s can be constructed by starting with a non-trivial smooth 5-dimensional h-cobordism (which exists by Donaldson's proof that the h-cobordism theorem fails in this dimension) and using Freedman's theorem that the topological h-cobordism theorem holds in this dimension.
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