John R. Klein, Lizhen Qin, Yang Su
Abstract
We prove some foundational results on Poincare spaces, which result in two applications. The first is a solution to a conjecture of C.T.C. Wall. The other application is a relative version of a result of Gottlieb about fibrations and Poincare duality.
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We prove some foundational results on Poincare spaces, which result in two applications. The first is a solution to a conjecture of C.T.C. Wall. The other application is a relative version of a result of Gottlieb about fibrations and Poincare duality.
Key concepts: Poincaré conjecture, Poincaré duality, Conjecture, Duality (order theory), Space (punctuation), Mathematics, Pure mathematics, Computer science