Dec 10, 2021 · An exotic smooth structure is, roughly speaking, a smooth structure on a topological manifold X X which makes the resulting smooth manifold be ...
People also ask
Are there exotic 4 spheres?
What is an exotic sphere?
What is R4 mathematics?
In an area of mathematics called differential topology, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the ...
is a differentiable manifold that is homeomorphic (i.e. shape preserving) but not diffeomorphic (i.e. non smooth) to the Euclidean space R 4 . {\displaystyle \ ...
How do you visualize exotic smoothness (exotic spheres and ...
www.reddit.com › comments › how_do_...
Oct 31, 2012 · Exotic spheres in dimension 7, say, are much easier to construct and describe algebraically — e.g., the Gromoll-Meyer sphere, the Kervaire ...
Suppose N is a topological manifold with smooth structure (maximal atlas) U. Suppose M is a topological manifold and f is a homeomorphism M → N. We can use ...
Jul 27, 2020 · Bd or are there exotic smooth structures? I suspect that the answer is well ... exotic (or even whether it has a smooth boundary to be honest).
May 19, 2010 · Abstract:We construct an infinite family of mutually non-diffeomorphic irreducible smooth structures on the topological 4-manifold S^2 \times S^ ...
May 17, 2010 · So, it's mentioned in the previous question that R4 has uncountably many (smooth) differentiable structures. This is a claim I've certainly ...
Jan 9, 2018 · Exotic smoothness refers to a phenomenon in mathematics where there is more than one way to smoothly and continuously map one geometric space ...
