Vol. 105, No. 2, 1983
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Essential tori in 4-manifold boundaries

Martin Scharlemann
Vol. 105 (1983), No. 2, 439–447
DOI: 10.2140/pjm.1983.105.439
Abstract

The central result is an analogue for four manifolds of the loop theorem, in which, with suitable restrictions on π2, essential loops in the boundary are replaced by essential tori.
Mathematical Subject Classification 2000
Primary: 57N13
Secondary: 57N10
Milestones
Received: 28 March 1979
Published: 1 April 1983
Authors
Martin Scharlemann
Mathematics Department
UC Santa Barbara
Santa Barbara CA 93106-3080
United States
http://www.math.ucsb.edu/~mgscharl/