Some easy to understand references from the literature will be much appreciated. Thanks in advance for all the answer.
Regards,
Zubair
A delta complex typically requires much fewer simplexes than a simplicial complex to triangulate a space. For instance, the minimum number of vertices in a delta complex for the torus is 1, whereas the minimum number of vertices in a simplicial complex triangulating the torus is 7.
A delta complex typically requires much fewer simplexes than a simplicial complex to triangulate a space. For instance, the minimum number of vertices in a delta complex for the torus is 1, whereas the minimum number of vertices in a simplicial complex triangulating the torus is 7.
Each simplicial complex is a delta complex whose simplices are uniquely determined by their vertices. This means, in a simplicial complex each n simplex has n+1 distinct vertices, and no other n simplex has this same set of vertices. While in a general delta complex it need not happen, this means many simplices can have same interior and vertex.
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