In topology, a Jordan curve is a non-self-intersecting continuous loop in the plane, and another name for a Jordan curve is a simple closed curve. The Jordan curve theorem asserts that every Jordan curve divides the plane into an "interior" region bounded by the curve and an "exterior" region containing all of the nearby and far away exterior points, so that any continuous path connecting a point of one region to a point of the other intersects with that loop somewhere. While the statement of this theorem seems to be intuitively obvious, it takes quite a bit of ingenuity to prove it by elementary means. More transparent proofs rely on the mathematical machinery of algebraic topology, and these lead to generalizations to higher-dimensional spaces.

The Jordan curve theorem is named after the mathematician Camille Jordan, who found its first proof. For decades, mathematicians generally thought that this proof was flawed and that the first rigorous proof was carried out by Oswald Veblen. However, this notion has been challenged by Thomas C. Hales and others.

The Jordan River (in traditional English River Jordan) (Hebrew: נְהַר הַיַּרְדֵּן‎ nehar hayarden; Arabic: نَهْر الْأُرْدُنّ‎ nahr al-urdun) is a 251-kilometre (156 mi)-long river in West Asia flowing to the Dead Sea. Israel and the West Bank border the river to the west, while the Golan Heights and Jordan lie to its east. Both Jordan and the West Bank take their names from the river.

The river has a major significance in Judaism and Christianity and, to a more moderate degree, Islam, as the site where the Israelites crossed into the Promised Land and where Jesus of Nazareth was baptised by John the Baptist.

Physical characteristics

Tributaries

The streams coming together to create the River Jordan in its upper basin are, west to east:

Jordan is a village in the town of Waterford, Connecticut, and the historic center of the town. It was named from the Jordan River. The village was listed on the National Register of Historic Places as Jordan Village Historic District in 1990. The district includes 58 contributing buildings and one other contributing site over an area of 57 acres (23 ha). It includes examples of Greek Revival and Queen Anne architectural styles.

Location

Jordan Village is located on land known historically as Jordan Plain, a flat land area at the head of Jordan Cove, an estuary off Long Island Sound. The historic district surrounds the intersection of Rope Ferry Road and North Road.

See also

References

Jordan (died in 982 or 984) was the first Bishop of Poland from 968 with his seat, most probably, in Poznań. He was an Italian or German.

Most evidence shows that he was missionary bishop subordinate directly to the Pope. He arrived in Poland, probably from Italy or the Rhineland, in 966 with Doubravka of Bohemia to baptise Mieszko I of Poland. After the death of Jordan until 992 the throne of the Bishop of Poland was vacant, or there was a bishop of unknown name (the first theory is more probable). His successor, from 992, was Unger.

References