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connectivity number |
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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, then-dimensional connectivity number of a topological spaceXis the number of infinite cyclic groups whose direct sum with the torsion groupGn(X) forms the homology groupHn(X). How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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