Volume 18, issue 4 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
The double $n\mkern-1.5mu$–space property for contractible $n\mkern-1.5mu$–manifolds

Peter Sparks

Algebraic & Geometric Topology 18 (2018) 2131–2149
Abstract

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 n 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.

Keywords
Mazur manifold, jester's manifold, dunce hat, jester's hat, pseudohandle
Mathematical Subject Classification 2010
Primary: 57N13
Secondary: 57N15
References
Publication
Received: 20 October 2016
Revised: 3 January 2018
Accepted: 26 January 2018
Published: 26 April 2018
Authors
Peter Sparks
Department of Mathematics, Statistics and Computer Science
Marquette University
Milwaukee, WI
United States