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Any 3-manifold 1-dominates at most finitely many 3-manifolds supporting S 3 geometry. A fundamental topic in topology is to determine whether there exists a map of nonzero degree between given closed orientable manifolds of the same dimension. A natural question in the topic is that for given manifold M , are there at most finite N such that there is a… (More)

CONTENTS Let M and P be Seifert 3-manifolds. Is there a degree one map 1. Introduction f : M-> P ? The problem was completely solved by Hayat-2. A Bit of Theory Legrand, Wang, and Zieschang for all cases except when P is the 3. How to Calculate the Boundary Cycle Poincare homology sphere. We investigate the remaining case 4. How to Calculate the… (More)

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