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Extension, extend or extended may refer to:

Tietze syndrome Inflammation, tenderness, and pain of the chest wall with swelling present

Tietze syndrome is a benign inflammation of one or more of the costal cartilages. It was first described in 1921 by German surgeon Alexander Tietze and was subsequently named after him. The condition is characterized by tenderness and painful swelling of the anterior chest wall at the costochondral, sternocostal, or sternoclavicular junctions. Tietze syndrome affects the true ribs and has a predilection for the 2nd and 3rd ribs, commonly affecting only a single joint.

Heinrich Friedrich may refer to:

Heinrich Franz Friedrich Tietze Austrian mathematician

Heinrich Franz Friedrich Tietze was an Austrian mathematician, famous for the Tietze extension theorem on functions from topological spaces to the real numbers. He also developed the Tietze transformations for group presentations, and was the first to pose the group isomorphism problem. Tietze's graph is also named after him; it describes the boundaries of a subdivision of the Möbius strip into six mutually-adjacent regions, found by Tietze as part of an extension of the four color theorem to non-orientable surfaces.

Costochondritis Human disease

Costochondritis, also known as chest wall pain syndrome or costosternal syndrome, is a benign inflammatory condition affecting the upper costochondral junctions and costosternal joints. Costochondritis is a common cause of chest pain, which is considered a medical emergency until life-threatening conditions can be ruled out.

Goryeo–Khitan War

The Goryeo–Khitan War was a series of 10th- and 11th-century conflicts between the Goryeo dynasty of Korea and the Khitan-led Liao dynasty of China near the present-day border between China and North Korea.

Tietze may refer to:

Alexander Tietze German surgeon

Alexander Tietze was a German surgeon born in Liebenau. Tietze syndrome is named after him.

Administrative divisions of the Liao dynasty

The Liao dynasty was a Khitan-led imperial dynasty of China. This article discusses the provincial system that existed within the Liao dynasty from the early 10th century until the fall of the empire in 1125, in what is now North China, Northeast China and Mongolia.

Martin Tietze was a German luger who competed during the 1930s. He won seven medals at the European luge championships with five golds and two silvers. Tietze's four championships in the men's singles has not been equaled as of 2007.

Friedel Tietze German luger

Friedel Tietze (1908–1953) was a German luger who competed in the late 1930s. She won two gold medals in the women's singles event at the European luge championships.

Tietzes graph

In the mathematical field of graph theory, Tietze's graph is an undirected cubic graph with 12 vertices and 18 edges. It is named after Heinrich Franz Friedrich Tietze, who showed in 1910 that the Möbius strip can be subdivided into six regions that all touch each other – three along the boundary of the strip and three along its center line – and therefore that graphs that are embedded onto the Möbius strip may require six colors. The boundary segments of the regions of Tietze's subdivision form an embedding of Tietze's graph.

Annie Tietze is a Democratic former member of the Kansas House of Representatives. She represented the 56th from 2007 to 2013 and the 53rd district from 2013 to 2016.

Sybille Reinhardt is a German rower. At the East Germany rowing championships in July 1974, she was the youngest winner of one of the national titles at age 16; she won the double scull partnered with Christine Scheiblich. She has competed under her married name since 1980.

Erica Tietze-Conrat (born June 20, 1883 Vienna, Austria; died December 12, 1958, in New York City, also known as Erika Conrat, Erica Tietze) was an Austrian-American art historian, one of the first women to study art history, a strong supporter of contemporary art in Vienna and an art historian specializing in Renaissance art and the Venetian school drawings.

Lakewood Heights, Dallas

Lakewood Heights is a residential neighborhood in Dallas, Texas (USA), bounded by Abrams Road to the east, Monticello Avenue to the north, Skillman Street to the west, and Richmond Avenue to the south. It located in East Dallas. Lakewood Heights is approximately one-half mile (0.8 km) wide (east-west) and three-quarters of a mile (1.2 km) long (north-south). It covers approximately 240 acres or slightly less than 0.375 square miles (1000m²). It is adjacent to several East Dallas neighborhoods, including Lakewood, Lower Greenville, and Wilshire Heights.

Hans Tietze was an Austrian art historian and member of the Vienna School of Art History.

Extension theorem may refer to:

Titz is a German surname belonging to the group of family names derived from given names. Like the related Dittrich, Dietz, Dietze, Tietz, Tietze and the Ashkenazi Taitz it is an altered form of the frequent masculine given name Dietrich.

Jim Gartner is an American politician and retired businessman serving as a member of the Kansas House of Representatives from the 53rd district. Elected in 2016, he assumed office on January 9, 2017.