Back Verbundene Summe German Koneksa sumo Esperanto Suma conexa Spanish Somme connexe French Somma connessa Italian 連結和 Japanese 연결합 Korean Verbonden som Dutch Soma conectada Portuguese Связная сумма Russian
In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the classification of closed surfaces.
More generally, one can also join manifolds together along identical submanifolds; this generalization is often called the fiber sum. There is also a closely related notion of a connected sum on knots, called the knot sum or composition of knots.