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[David Canino <>]

No. It is correctly a quasi-manifold of dimension 3. In fact, if you consider the star of p, then it satisfies the definition of QM. The star of p contains 4 pyramids, connected by common triangles. In fact, if you start from a pyramid, and navigate on common triangles you are able to visit all of them. Each triangle of pyramids in the star of p is shared by at most two pyramids. As a consequence, the star of p is manifold-connected. This is the definition of QM, if you read the article. In this case, the entire 3D shape is manifold-connected, but vertex p is non-manifold. Thus, classifying complexes is not a simple task, as you have understood.

Best regards

David

2014-06-11 8:42 GMT+02:00 Pranav <>:

In Figure 24.6(object on the right), opposite 3-cells are connected by a
vertex(or, a 0-cell) /p/ but still it is classified as quasi-manifold.
As per definition of quasi-manifold, a pair of d-cells can only be connected
by a shared (d-1)-cell.

Does that figure contradicts the definition of quasi-manifold?



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