On the topological structure of compact 5-manifolds
Cavicchioli, Alberto ; Spaggiari, Fulvia
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 513-524 / Harvested from Czech Digital Mathematics Library
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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 $M$.

Publié le : 1993-01-01
Classification:  57N15,  57N65,  57Q25,  57R67 
@article{118607,
     author = {Alberto Cavicchioli and Fulvia Spaggiari},
     title = {On the topological structure of compact 5-manifolds},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {513-524},
     zbl = {0784.57009},
     mrnumber = {1243082},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118607}
}

Cavicchioli, Alberto; Spaggiari, Fulvia. On the topological structure of compact 5-manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 513-524. http://gdmltest.u-ga.fr/item/118607/

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