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An Exotic 4-sphereEasyChair Preprint 9575, version history| Version | Date | Pages | Version notes | 
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 | 1 | January 15, 2023  | 9 |  |  | 2 | January 22, 2023  | 9 | Notice that the set of compact smooth manifolds homeomorphic to 4-dimensional ball, considered up to oriented diffeomorphism, is in canonical bijection with the set of compact smooth manifolds homeomorphic to 4-sphere, considered up to oriented diffeomorphism.  |  | 3 | January 25, 2023  | 10 | A PL 4-manifold 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, Exotic n-spheres, Exotic smooth structures, Pachner moves, Piecewise-linear manifolds, Poincare conjecture, Rado graph, Richter-Gebert’s Universality theorem, Subdivisions, Valuation, Weighted simplicial complexes, discrete geometry, inverse limit, simplicial complexes, triangulations  |  
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