connectivity number

[kə‚nek′tiv·əd·ē ‚nəm·bər] (mathematics) The number of points plus 1 which can be removed from a curve without separating the curve into more than one piece. The number of closed cuts or cuts joining points of previous cuts (or joining points on the boundary) plus 1 which can be made on a surface without separating the surface. Also known as Betti number. In general, the n-dimensional connectivity number of a topological space X is the number of infinite cyclic groups whose direct sum with the torsion group G_n (X) forms the homology group H_n (X).

单词	connectivity number
释义	connectivity number connectivity number [kə‚nek′tiv·əd·ē ‚nəm·bər] (mathematics) The number of points plus 1 which can be removed from a curve without separating the curve into more than one piece. The number of closed cuts or cuts joining points of previous cuts (or joining points on the boundary) plus 1 which can be made on a surface without separating the surface. Also known as Betti number. In general, the n-dimensional connectivity number of a topological space X is the number of infinite cyclic groups whose direct sum with the torsion group G_n (X) forms the homology group H_n (X).
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