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About: Band sum     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatBinaryOperationsyago:BooleanOperation113440935yago:DataProcessing113455487yago:Operation113524925yago:PhysicalEntity100001930yago:Process100029677yago:Processing113541167 New Facet based on Instances of this Class

In geometric topology, a band sum of two n-dimensional knots K1 and K2 along an (n + 1)-dimensional 1-handle h called a band is an n-dimensional knot K such that: * There is an (n + 1)-dimensional 1-handle h connected to (K1, K2) embedded in Sn+2. * There are points and such that is attached to along . K is the n-dimensional knot obtained by this surgery. A band sum is thus a generalization of the usual connected sum of knots.