Abstract
An n-dimensional manifold is a Hausdorff space such that every point has an open neighborhood which is homeomorphic to Euclidean n-space, R n (see Massey, [6], Chapter I). One of the main goals of this chapter will be to prove one of the oldest results of algebraic topology, the famous Poincaré duality theorem for compact, orientable manifolds. It is easy to state the Poincaré duality theorem but the proof is lengthy.
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© 1980 Springer-Verlag New York Inc.
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Massey, W.S. (1980). Duality Theorems for the Homology of Manifolds. In: Singular Homology Theory. Graduate Texts in Mathematics, vol 70. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9231-6_9
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DOI: https://doi.org/10.1007/978-1-4684-9231-6_9
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