Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds
In [1] and [2] a classification of a manifold M of the type (n,p,1) was given where Hp(M)=Hn−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...
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000036 |
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| _version_ | 1832552913319231488 |
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| author | Samuel Omoloye Ajala |
| author_facet | Samuel Omoloye Ajala |
| author_sort | Samuel Omoloye Ajala |
| collection | DOAJ |
| description | In [1] and [2] a classification of a manifold M of the type (n,p,1) was given where Hp(M)=Hn−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=3,5,6,7mod(8). |
| format | Article |
| id | doaj-art-57ce250df3284e788dc0a23188e991f8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-57ce250df3284e788dc0a23188e991f82025-02-03T05:57:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-01101173310.1155/S0161171287000036Diffeomorphism groups of connected sum of a product of spheres and classification of manifoldsSamuel Omoloye Ajala0School of Mathematics, The Institute for Advanced Study, Princeton 08540, New Jersey, USAIn [1] and [2] a classification of a manifold M of the type (n,p,1) was given where Hp(M)=Hn−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=3,5,6,7mod(8).http://dx.doi.org/10.1155/S0161171287000036pseudo-diffeotopy classes of diffeomorphismsdiffeotopy. |
| spellingShingle | Samuel Omoloye Ajala Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds International Journal of Mathematics and Mathematical Sciences pseudo-diffeotopy classes of diffeomorphisms diffeotopy. |
| title | Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds |
| title_full | Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds |
| title_fullStr | Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds |
| title_full_unstemmed | Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds |
| title_short | Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds |
| title_sort | diffeomorphism groups of connected sum of a product of spheres and classification of manifolds |
| topic | pseudo-diffeotopy classes of diffeomorphisms diffeotopy. |
| url | http://dx.doi.org/10.1155/S0161171287000036 |
| work_keys_str_mv | AT samuelomoloyeajala diffeomorphismgroupsofconnectedsumofaproductofspheresandclassificationofmanifolds |