We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let M be a closed connected orientable smooth 5-manifold with free fundamental group. Then we prove that the number of distinct smooth 5-manifolds homotopy equivalent to M equals the 2-nd Betti number (mod 2) of M.
On the topological structure of compact 5-manifolds / Cavicchioli, Alberto; Spaggiari, Fulvia. - In: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE. - ISSN 0010-2628. - STAMPA. - 34 (3):(1993), pp. 513-524.
On the topological structure of compact 5-manifolds
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
1993-01-01
Abstract
We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let M be a closed connected orientable smooth 5-manifold with free fundamental group. Then we prove that the number of distinct smooth 5-manifolds homotopy equivalent to M equals the 2-nd Betti number (mod 2) of M.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
