Vol. 99, No. 1, 1982

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On attaching 3-handles to a 1-connected 4-manifold

Bruce Stewart Trace

Vol. 99 (1982), No. 1, 175–181
Abstract

This paper studies various properties of 3-handle presentations of 1-connected, smooth, 4-manifolds—with—connected-boundary. Although the question of whether or not such 4-manifolds have handle presentations consisting solely of 0-, 1- and 2-handles remains open, the main results of this paper do imply that the essential structure of such 4-manifolds is contained in a neighborhood of their 2-skeleton.

Mathematical Subject Classification 2000
Primary: 57R65
Secondary: 57N13
Milestones
Received: 13 October 1980
Published: 1 March 1982
Authors
Bruce Stewart Trace