# 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.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Multiply Connected Region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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.