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.
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.