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Simplicial complexes simplicial homology Simplicial complexes: Sets consisting of simplices such that 1.| f o andτ are simplices in a complex k,a∩τis the common face of o and t; 2. f g is in K. all faces of g are in k K=A, B, C,AB, AC, BC,ABC]Simplicial complexes & simplicial homology Simplicial complexes : Sets consisting of simplices such that 1. If 𝜎 and 𝜏 are simplices in a complex 𝐾, 𝜎 ∩ 𝜏 is the common face of 𝜎 and 𝜏; 2. If 𝜎 is in K, all faces of 𝜎 are in 𝐾 𝐾={A,B,C,AB,AC,BC,ABC} A B C
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