Multiply Connected Region

multiply connected region

[′məl·tə·plē kə¦nek·təd ′rē·jən] (mathematics) An open set in the plane which has holes in it.

Multiply Connected Region

 

in mathematics, a region in which there exist closed curves that cannot be contracted to a point within the region. In Figure 1, the region A is a simply connected region and the region B is a multiply connected region. A curve that cannot be contracted to a point within B is shown by the broken line.

Figure 1