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Topology of four-manifolds with special homotopy groups

Published online by Cambridge University Press:  17 April 2009

Alberto Cavicchioli  and
Fulvia Spaggiari
Alberto Cavicchioli
Affiliation:
Dipartimento di Matematica, Università di Modena e di Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy, e-mail: [email protected], [email protected]
Fulvia Spaggiari
Affiliation:
Dipartimento di Matematica, Università di Modena e di Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy, e-mail: [email protected], [email protected]
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We study the homotopy type and the s—cobordism class of a closed connected topological 4-manifold with vanishing second homotopy group. Our results are related to problem 4.53 of Kirby in Geometric Topology, Studies in Advanced Math. 2 (1997), and give a partial answer to a question stated by Hillman in Bull. London Math. Soc.27 (1995) 387–391.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 321 - 335
Copyright
Copyright © Australian Mathematical Society 2006

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