Simply Connected Region

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simply connected region [′sim·plē kə¦nek·təd ′rē·jən]

(mathematics)

A region having no holes; all closed curves can be shrunk to a point without passing through points in the complement of the region.

a plane region such that, for any closed continuous curve belonging to the region, the part of the plane bounded by the curve belongs to the region. For example, the interior of a circle, square, or triangle is-a simply connected region. The interior of an annulus is a doubly connected region rather than a simply connected region.

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