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In: Advanced Math

For each of the following simplicial complexes ,X = {[a], [b], [c], [d], [a, b], [c,...

For each of the following simplicial complexes ,X = {[a], [b], [c], [d], [a, b], [c, d]}, and X = {[a], [b], [c], [d], [e], [a, b], [b, c], [c, d], [a, d], [a, c], [a, e], [b, e], [a, b, c]},give a basis for each non-zero Hj(X).

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