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5-manifolds: 1-connected
Abstract
We recall the classification of closed smooth simply-connected 5-manifolds begun by Smale in 1962 and completed by Barden in 1965. We also give a construction of every such manifold which differs from Barden's original construction.
Keywords
5-manifold, smooth manifold, simply connected
Mathematical Subject Classification 2010
Primary:
57R99
Secondary:
57R65
Publication
Received: | 9th September 2010 |
Revised: | 6th December 2010 |
Accepted: | 30th January 2011 |
Published: | 1st May 2011 |
Editor: | Fuquan Fang |