He was known for his contributions to topology and other fields of mathematics and for being a keen alpinist. He attended the University of Innsbruck where he earned his Ph.D Vietoris was also known for his work with space subsets and was deeply interested in mathematical history as well.
Vietoris lends his name to a few mathematical concepts:
"Leopold Vietoris (1891--2002)", Notices of the American Mathematical Society, vol. 49, no. 10 (November 2002)References