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edit approved Dec 30, 2015 at 10:31
John B
edit approved Dec 30, 2015 at 10:31
John B
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I am reading the proof of Theorem PoincarePoincaré duality in "princibles"principles in AG" of Griffith.

They constructed "dual cell decomposition" of a polyhedra decomposition of manifold M$M$ and the cochain complex of this dual cells.

I don't know why this cohomogycohomology group of this cochain complex is the singular cohomogycohomology group of M$M$?

Someone help me give answer? Thanks in advance.

I am reading the proof of Theorem Poincare duality in "princibles in AG" of Griffith.

They constructed "dual cell decomposition" of a polyhedra decomposition of manifold M and the cochain complex of this dual cells.

I don't know why this cohomogy group of this cochain complex is the singular cohomogy group of M?

Someone help me give answer? Thanks in advance.

I am reading the proof of Theorem Poincaré duality in "principles in AG" of Griffith.

They constructed "dual cell decomposition" of a polyhedra decomposition of manifold $M$ and the cochain complex of this dual cells.

I don't know why this cohomology group of this cochain complex is the singular cohomology group of $M$?

Someone help me give answer? Thanks in advance.

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vu viet
vu viet
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Poincare duality

I am reading the proof of Theorem Poincare duality in "princibles in AG" of Griffith.

They constructed "dual cell decomposition" of a polyhedra decomposition of manifold M and the cochain complex of this dual cells.

I don't know why this cohomogy group of this cochain complex is the singular cohomogy group of M?

Someone help me give answer? Thanks in advance.