Multiply Connected Region

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multiply connected region [′məl·tə·plē kə¦nek·təd ′rē·jən]

(mathematics)

An open set in the plane which has holes in it.

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

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