Concept

Leopold Vietoris

Summary
Leopold Vietoris (viːˈtoʊrɪs; viːˈtoːʀɪs; 4 June 1891 – 9 April 2002) was an Austrian mathematician, World War I veteran and supercentenarian. He was born in Radkersburg and died in Innsbruck. He was known for his contributions to topology—notably the Mayer–Vietoris sequence—and other fields of mathematics, his interest in mathematical history and for being a keen alpinist. Biography Vietoris studied mathematics and geometry at the Vienna University of Technology. He was drafted in 1914 in World War I and was wounded in September that same year. On 4 November 1918, one week before the Armistice of Villa Giusti, he became an Italian prisoner of war. After returning to Austria, he attended the University of Vienna, where he earned his PhD in 1920, with a thesis written under the supervision of Gustav von Escherich and Wilhelm Wirtinger. In autumn 1928 he married his first wife Klara Riccabona, who late
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Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its properties and learn how to compute it. There will be many examples and applications.