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What is the essence of ``the naturality of the cap product''?

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#algebraic-topology #differential-topology #homology-cohomology #geometric-topology #poincare-duality
110
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Lefschetz duality pairing on images of projections from long exact sequence

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#algebraic-topology #manifolds-with-boundary #poincare-duality
214
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Different approach of Poincaré Duality

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#differential-geometry #algebraic-topology #regularity-theory-of-pdes #hodge-theory #poincare-duality
298
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Poincaré's take on Poincaré duality before the advent of cohomology?

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#algebraic-topology #homology-cohomology #de-rham-cohomology #poincare-duality #betti-numbers
195
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If $X$ is an orientable connected non compact $n$- manifold then $H_n(X) = 0$

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#algebraic-topology #manifolds #homology-cohomology #homological-algebra #poincare-duality
325
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Help with proof of noncompact Poincaré Duality by Hatcher.

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#algebraic-topology #proof-explanation #homology-cohomology #poincare-duality
118
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Induced map on cohomology is preimage in geometry

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#algebraic-topology #differential-topology #de-rham-cohomology #poincare-duality
260
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Is compactly supported de Rham cohomology always finite dimensional?

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#differential-geometry #smooth-manifolds #homology-cohomology #poincare-duality
127
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A duality generalizing Lefschetz duality of a non-compact manifold

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#algebraic-topology #poincare-duality
253
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Poincaré Duality Theorem (Massey proof)

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#abstract-algebra #algebraic-topology #homology-cohomology #homological-algebra #poincare-duality
110
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Definition of Poincaré homomorphism

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#abstract-algebra #algebraic-topology #homology-cohomology #poincare-duality
987
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Analogous of Poincaré Duality for relative homology and relative cohomology

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#algebraic-topology #homology-cohomology #morse-theory #de-rham-cohomology #poincare-duality
144
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Sources on twisted/local (co)homology

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#reference-request #algebraic-topology #homology-cohomology #poincare-duality
56
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Poincaré-Bendixson theorem in $\mathbb{R}^{1}$

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#ordinary-differential-equations #poincare-duality
117
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algebraic intersection number and Poincare duality

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#algebraic-topology #knot-theory #poincare-duality

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