Education
After finishing secondary school in 1948, Toponogov entered the department of Mechanics and Mathematics at Tomsk State University, graduated with honours in 1953, and continued as a graduate student there until 1956.
mathematician university professor
After finishing secondary school in 1948, Toponogov entered the department of Mechanics and Mathematics at Tomsk State University, graduated with honours in 1953, and continued as a graduate student there until 1956.
He moved to an institution in Novosibirsk in 1956 and lived in that city for the rest of his career. Novosibirsk State University was established in 1959. In 1961 Toponogov became a professor at a newly created Institute of Mathematics and Computing in Novosibirsk affiliated with the state university.
Toponogov"s scientific interests were influenced by his advisor Abram Fet, who taught at Tomsk and later at Novosibirsk.
Fet was a well-recognized topologist and specialist in variational calculus in the large. Toponogov"s work was also strongly influenced by the work of Aleksandr Danilovich Aleksandrov.
Later, the class of metric spaces known as Centre for Alternative Technology(k) spaces would be named after Élie Cartan, Aleksandrov and Toponogov. Toponogov published over forty papers and some books during his career.
A significant number of his students also made notable contributions in this field
Since the institution at Novosibirsk had not yet been fully credentialed, he had defended his Doctor of Philosophy thesis at Moscow State University in 1958, on a subject in Riemann spaces.