Alexander Arhangelskii

Alexander Arhangelskii
Born	13 March 1938 Moscow, Soviet Union
Fields	Mathematics
Institutions	Moscow State University, Ohio University
Alma mater	Moscow State University
Doctoral advisor	Pavel Alexandrov
Known for	General topology

Alexander Vladimirovich Arhangelskii (Russian: Александр Владимирович Архангельский, Aleksandr Vladimirovich Arkhangelsky, born 13 March 1938 in Moscow) is a Russian mathematician. His research, comprising over 200 published papers, covers various subfields of general topology. He has done particularly important work in metrizability theory and generalized metric spaces, cardinal functions, topological function spaces and other topological groups, and special classes of topological maps. After a long and distinguished career at Moscow State University, he moved to the United States in the 1990s. In 1993 he joined the faculty of Ohio University, from which he retired in 2011.

Arhangelskii was the son of Vladimir Alexandrovich Arhangelskii and Maria Pavlova Radimova, who divorced by the time he was four years old. He was raised in Moscow by his father. He was also close to his uncle, childless aircraft designer Alexander Arkhangelsky. In 1954, Arhangelskii entered Moscow State University, where he became a student of Pavel Alexandrov. At the end of his first year, Arhangelskii told Alexandrov that he wanted to specialize in topology.

In 1959, in the thesis he wrote for his specialist degree, he introduced the concept of a network of a topological space. Now considered a fundamental topological notion, a network is a collection of subsets that is similar to a basis, without the requirement that the sets be open. Also in 1959 he married Olga Constantinovna.

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