We prove a decomposition theorem for closed connected homotopy equivalent smooth four-manifolds, which partially extends a recent result of Curtis, Freedman, Hsiang and Stong, Invent. Math., 123 (1996), to the non-simply connected case. Then we study the question of when a homotopy equivalence between closed smooth 4-manifolds is homotopic to a topological homeomorphism. In particular, we obtain a new proof of the well-known uniqueness of closed aspherical smooth 4-manifolds with good fundamental groups.

A splitting theorem for homotopy equivalent 4-manifolds / Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - 17 Serie VII:(1997), pp. 523-539.

A splitting theorem for homotopy equivalent 4-manifolds

CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
1997

Abstract

We prove a decomposition theorem for closed connected homotopy equivalent smooth four-manifolds, which partially extends a recent result of Curtis, Freedman, Hsiang and Stong, Invent. Math., 123 (1996), to the non-simply connected case. Then we study the question of when a homotopy equivalence between closed smooth 4-manifolds is homotopic to a topological homeomorphism. In particular, we obtain a new proof of the well-known uniqueness of closed aspherical smooth 4-manifolds with good fundamental groups.
1997
17 Serie VII
523
539
A splitting theorem for homotopy equivalent 4-manifolds / Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 1120-7183. - STAMPA. - 17 Serie VII:(1997), pp. 523-539.
Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/450996
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