Assume that c 2P 1 P 3 P 4 4P 3 P 4 P 6 3P 3 P 2 P 4 P 1 P 6 P 4 is a 2 chain of a certain simplicial complex X a Compute 2 (c) b Is c a 2 cycle c Is 2 (c) a 1 cycle ...

a We have 2 c 2 2 P 1 P 3 P 4 4 2 P 3 P 4 P 6 3 2 P 3 P 2 P 4 2 P 1 P 6 P 4 2P 3 ...

Assume that c = 2P 1 P 3 P 4 - 4P 3 P 4 P 6

Question:

Assume that c = 2P₁P₃P₄ - 4P₃P₄P₆ + 3P₃P₂P₄+ P₁P₆P₄ is a 2-chain of a certain simplicial complex X.

a. Compute ∂₂(c).

b. Is c a 2-cycle?

c. Is ∂₂(c) a 1-cycle?

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Assume that c = 2P 1 P 3 P 4 - 4P 3 P 4 P 6

Question:

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a We have 2 c 2 2 P 1 P 3 P 4 4 2 P 3 P 4 P 6 3 2 P 3 P 2 P 4 2 P 1 P 6 P 4 2P 3 ...View the full answer

A First Course In Abstract Algebra

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