Mathematician:Pavel Sergeyevich Alexandrov
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Mathematician
Russian mathematician who made considerable contributions in the fields of set theory and topology.
The first to introduce the concept of a kernel of a homomorphism.
Not to be confused with Aleksandr Danilovich Aleksandrov.
Nationality
Soviet Russian
History
- Born: 7 May 1896, Bogorodsk (also called Noginsk), Russia
- Died: 16 Nov 1982, Moscow, USSR
Theorems and Definitions
- Alexandroff Compactification
- Alexandroff Extension
- Alexandroff Plank
- Alexandroff Square
- Alexandrov Topology
Definitions of concepts named for Pavel Sergeyevich Alexandrov can be found here.
Publications
- 1923: Une condition nécessaire et suffisante pour qu'une classe $(L)$ soit une classe $(B)$ (C.R. Acad. Sci. Vol. 177: pp. 1274 – 1276) (with Pavel Samuilovich Urysohn)
- 1924: Zur Theorie der topologischen Räume (Math. Ann. Vol. 92: pp. 258 – 266) (with Pavel Samuilovich Urysohn)
- 1924: Sur les ensembles de la première classe et les espaces abstraits (C.R. Acad. Sci. Vol. 178: p. 185)
- 1929: Mémoire sur les espaces topologiques compacts (Verh. Konink. Acad. Wetensch. Amsterdam Vol. 14: pp. 1 – 96) (with Pavel Samuilovich Urysohn)
- 1947: General duality theorems for non-closed sets of $n$-dimensional space (Mat. Sbornik Vol. 21 (63): pp. 161 – 231)
- 1960: On the metrization of topological spaces (Bull. Acad. Polon. Sci. Vol. 8: pp. 135 – 140)
- 1960: Some results in the theory of topological spaces, obtained within the last twenty-five years (Russian Math. Surveys Vol. 15: pp. 23 – 83)
Also known as
In Russian: Па́вел Серге́евич Алекса́ндров.
Алекса́ндров is frequently transliterated as Alexandroff, particularly in the names of some of the objects and results attributed to him.
The variant Aleksandrov can also be seen.