Characteristics of an Object. Object Characteristics. Topological properties Manifolds (w/ boundaries) /Non-manifold Euler characteristic/Genus/Betti numbers/ Orientability Homeomorphism/ Homology groups etc. Geometric properties Curvature, continuity Surface parameterization
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Remember: manifolds with boundaries is a superset of manifolds, and non-manifold is a superset of manifolds with boundaries.
Non-manifold actually means that “need not” be a manifold; not “is not” a manifold.