Chen Bai-hui
Abstract
Poincare duality reflect a strong symmetry on the homology and cohomology groups of manifolds,and regular covering space as a manifold has a lot of good character.In this paper,a special connection of Poincare duality in regular covering space is acquired.It shows that the pull-back of Poincare pairing via covering map in the base space is still Poincare pairing.
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Poincare duality reflect a strong symmetry on the homology and cohomology groups of manifolds,and regular covering space as a manifold has a lot of good character.In this paper,a special connection of Poincare duality in regular covering space is acquired.It shows that the pull-back of Poincare pairing via covering map in the base space is still Poincare pairing.
Key concepts: Poincaré duality, Poincaré conjecture, Mathematics, Pairing, Duality (order theory), Pure mathematics, Cohomology, Connection (principal bundle)