Abstract: Pavel Sergeevich Aleksandrov was an outstanding mathematician in the Soviet Union in the 20th century. His mathematical research began in the field of set theory and real variable function theory, and achieved remarkable results. Later, he devoted himself to the development of topology. He founded the theory of compact space, significantly developed the theory of dimension, and developed the combinatorial research methods of set theory and general property space. Many concepts and theorems of general topology were named after Aleksandrov, which laid a solid foundation for the later mathematical research. Aleksandrov also founded and developed the topological school of Moscow University.

Key Words: Aleksandrov; Bicompact space; Homology dimension theory; Moscow Topological School

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