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Answers for “欧拉示性数和贝蒂数与同调有什么关系?”

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The zeroth Betti number counts the number of connected components a shape has, rather than holes of a specific dimension. For example, two disconnected tetrahedra have a zeroth Betti number of 2, while a joined pair has 1.

Conditions: Applies to topological spaces and simplicial complexes.; The object may consist of multiple disconnected pieces.