Geodesic
The double n–space property for contractible n–manifolds
Sparks, Peter1
1 Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 2131-2149

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Motivated by a recent paper of Gabai (J. Topol. 4 (2011) 529–534) on the Whitehead contractible 3–manifold, we investigate contractible manifolds Mn which decompose or split as Mn = A ∪CB with A,B,C ≈ ℝn or A,B,C ≈ Bn. Of particular interest to us is the case n = 4. Our main results exhibit large collections of 4–manifolds that split in this manner.

DOI : 10.2140/agt.2018.18.2131
Classification : 57N13, 57N15
Keywords: Mazur manifold, jester's manifold, dunce hat, jester's hat, pseudohandle

Sparks, Peter 1

1 Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI, United States 
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Sparks, Peter. The double n–space property for contractible n–manifolds. Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 2131-2149. doi: 10.2140/agt.2018.18.2131

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