An Exotic 4sphereEasyChair Preprint no. 9575, version historyVersion  Date  Pages  Version notes 

1  January 15, 2023  9  —  2  January 22, 2023  9  Notice that the set of compact smooth manifolds homeomorphic to 4dimensional ball, considered up to oriented diffeomorphism, is in canonical bijection with the set of compact smooth manifolds homeomorphic to 4sphere, considered up to oriented diffeomorphism.  3  January 25, 2023  10  A PL 4manifold is exotic if and only if there exists an exotic link. A physical meaning of exotic spheres is added.  4  August 28, 2023  10  New details are added, e.g. a link to cluster algebras 
Keyphrases: Berkovich analytic spaces, discrete geometry, Exotic nspheres, Exotic smooth structures, inverse limit, Pachner moves, Piecewiselinear manifolds, Poincare conjecture, Rado graph, RichterGebert’s Universality theorem, simplicial complexes, Subdivisions, triangulations, Valuation, Weighted simplicial complexes 
