A splitting theorem for homotopy equivalent smooth 4-manifolds

Autor:	Alberto Cavicchioli, Friedrich Hegenbarth, Fulvia Spaggiari
Jazyk:	English<br />French<br />Italian
Rok vydání:	1997
Předmět:	four-manifolds homotopy equivalences immersions homotopy type homeomorphism type covering maps aspherical manifolds Mathematics QA1-939
Zdroj:	Rendiconti di Matematica e delle Sue Applicazioni, Vol 17, Iss 3, Pp 523-539 (1997)
Druh dokumentu:	article
ISSN:	1120-7183 2532-3350
Popis:	We prove a decomposition theorem for closed connected homotopy equivalent smooth four-manifolds, which partially extends a recent result of [2] 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/90e17ba5442d44d78281f23b0285e2e8 Zobrazit plný text záznamu View record in DOAJ