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Homology group on manifolds and their foldings | Abu-Saleem | Tamkang Journal of Mathematics

Homology group on manifolds and their foldings

M. Abu-Saleem

Abstract


In this paper, we introduce the definition of the induced unfolding on the homology group. Some types of conditional foldings restricted on the elements of the homology groups are deduced. The effect of retraction on the homology group of a manifold is dicussed. The unfolding of variation curvature of manifolds on their homology group are represented. The relations between homology group of the manifold and its folding are deduced.

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DOI: http://dx.doi.org/10.5556/j.tkjm.41.2010.636

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