Tietze

Tietze is a German surname. Notable uses of the name appear in mathematics and medicine.

Heinrich Franz Ferdinand Tietze (1884–1964) was a German mathematician known for contributions to topology and group theory. The Tietze extension theorem, which states that a continuous function defined on a closed subset of a normal space can be extended to the whole space, is named after him. In addition, Tietze transformations describe a set of moves that modify a presentation of a group without changing the underlying group, a concept used in combinatorial group theory and computational group theory.

Tietze syndrome, or costochondral junction syndrome, is a medical condition characterized by chest wall pain and tenderness at one or more costochondral joints. It is typically benign and self-limited, often affecting younger individuals. Diagnosis is usually clinical, with imaging and laboratory tests used to exclude other causes of chest pain. Treatment focuses on symptomatic relief, commonly involving nonsteroidal anti-inflammatory drugs (NSAIDs) and rest.

In summary, the name Tietze is recognized in both mathematics and medicine through eponymous concepts: the Tietze extension theorem and Tietze transformations in mathematics, and Tietze syndrome in medicine.