Continuing the idea of Exercise 7, what would be an easy way to answer a question asking

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Continuing the idea of Exercise 7, what would be an easy way to answer a question asking you to define Cn(X), ∂n : Cn(X) → Cn-1(X), Zn(X), and Bn(X) for a simplicial complex X perhaps containing some simplexes of dimension greater than 3?


Data from Exercise 7

Define the following concepts so as to generalize naturally the definitions in the text given for dimensions 0. 1, 2, and 3.

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