The cohomological dimension of an $n$-manifold is $n+1$.
Deo, Satya
Pacific J. Math., Tome 67 (1976) no. 2, p. 155-160 / Harvested from Project Euclid
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Publié le : 1976-05-14
Classification:  57A65 
@article{1102817670,
     author = {Deo, Satya},
     title = {The cohomological dimension of an $n$-manifold is $n+1$.},
     journal = {Pacific J. Math.},
     volume = {67},
     number = {2},
     year = {1976},
     pages = { 155-160},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1102817670}
}

Deo, Satya. The cohomological dimension of an $n$-manifold is $n+1$.. Pacific J. Math., Tome 67 (1976) no. 2, pp.  155-160. http://gdmltest.u-ga.fr/item/1102817670/