Let and be two -manifolds. Choose points and , and let be neighborhoods of these points, respectively. Since and are manifolds, we may assume that and are balls, with boundaries homeomorphic to -spheres, since this is possible in . Then let be a homeomorphism. If and are oriented, this should be orientation preserving with respect to the induced orientation (that is, degree 1). Then the connected sum is and glued along the boundaries by .
|Date of creation||2013-03-22 13:17:59|
|Last modified on||2013-03-22 13:17:59|
|Last modified by||bwebste (988)|