15 Facts About Pavel Alexandrov

Pavel Alexandrov wrote roughly three hundred papers, making important contributions to set theory and topology.

In topology, the Alexandroff compactification and the Alexandrov topology are named after him.

Pavel Alexandrov attended Moscow State University where he was a student of Dmitri Egorov and Nikolai Luzin.

Pavel Alexandrov was made a member of the Russian Academy of Sciences in 1953.

Luzin challenged Pavel Alexandrov to determine if the continuum hypothesis is true.

Pavel Alexandrov went to Chernihiv, where he participated in the organization of the drama theater.

Pavel Alexandrov was buried at the Kavezinsky cemetery of the Pushkinsky district of the Moscow region.

Pavel Alexandrov introduced the new concept of compactness.

Urysohn, Pavel Alexandrov showed the full meaning of this concept; in particular, he proved the first general metrization theorem and the famous compactification theorem of any locally compact Hausdorff space by adding a single point.

Pavel Alexandrov began to study combinatorial topology, and he managed to combine this branch of topology with general topology and significantly advance the resulting theory, which became the basis for modern algebraic topology.

Pavel Alexandrov developed methods of combinatorial research of general topological spaces, proved a number of basic laws of topological duality.

Pavel Alexandrov's books played an important role in the development of science and mathematics education in Russia: Introduction to the General Theory of Sets and Functions, Combinatorial Topology, Lectures on Analytical Geometry, Dimension Theory and Introduction to Homological Dimension Theory.

In 1936, Pavel Alexandrov was an active participant in the political offensive against his former mentor Luzin that is known as the Luzin affair.

Luzin and one of the members of Lusitania, during the persecution of Luzin, Pavel Alexandrov was one of the most active persecutors of the scientist.

Relations between Luzin and Pavel Alexandrov remained very strained until the end of Luzin's life, and Pavel Alexandrov became an academician only after Luzin's death.