Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds

Samuel Omoloye Ajala

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-17

Abstract:

In [1] and [2] a classification of a manifold M of the type ( n , p , 1 ) was given where H p ( M ) = H n − p ( M ) = ℤ is the only non-trivial homology groups. In this paper we give a complete classification of manifolds of the type ( n , p , 2 ) and we extend the result to manifolds of type ( n , p , r ) where r is any positive integer and p = 3 , 5 , 6 , 7 mod ( 8 ) .

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:198506

DOI: 10.1155/S0161171287000036

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