A Note on Some Contractible 4-Manifolds

1961/01/01 by Barry Mazur · 9 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Computational Geometry and Mesh Generation

paper · doi:10.2307/1970288

Abstract

In a recent note [2], J. H. C. Whitehead exhibits involutions of Sn with fixed point sets non-simply connected, for n > 14. This is based on a certain example of M.H.A. Newman [1] of a contractible 5-manifold U5, with non-simply connected boundary. The purpose of this note is to construct specific 4-manifolds W4 which are contractible and have nonsimply connected boundaries & W, = Mr (which are necessarily homology 3-spheres), and which have the following additional property

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