PONTRYAGIN 298 



Bibliography: 



and others . Artificial radioactivity produced by neutron 

 bombardment. II. Proceedings of the Royal Society of 

 London, 1935, Ser. A, 149, #868. 



and A. Lazard. Isomerie nucleaire produit par les rajons x 

 du Spectre Continu. Comptes Rendus Hebdomadaires des 

 Seances de I'Academie des Sciences, Paris, 1939, 208 , #2. 

 On the processes of formation of heavy mesons and parti- 

 cles. Zhur. Eksptl. i Teoret. Fiz., 1955, 29, #2 (8). 

 and A. I. Mukhin, E. B. Qzerov. Scattering of jr^-mesons on 

 hydrogen. I. Zhur. Eksptl. i Teoret. Fiz., 1956, 31^, #3. 

 and Mukhin. Scattering of 7r"'"-mesons on Hydrogen. II. 

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Office: USSR Academy of Sciences 



Leninskii Prospekt, 14 

 Moscow, USSR 



PONTRYAGIN, LEV SEMYONOVICH (Mathematician) 



L. S. Pontryagin was born September 3, 1908 in Moscow. 

 At the age of 14 he lost his sight in an accident. In 1929 he 

 graduated from Moscow University and in 1935 became a pro- 

 fessor. He was elected a Corresponding Member of the U.S.S.R. 

 Academy of Sciences in 1939 and in 1958 an Academician. In 

 1941 he was awarded a Stalin Prize. 



Pontryagin' s main works are concerned with topology and 

 the theory of continuous groups. In 1932 he formulated the 

 general theory of duality, which fully solved the problem of de- 

 termination of the Betty groups of an arbitrarily open set of 

 Euclidian space through the Betty groups of an additional closed 

 set. In connection with the proof of the theorem of duality, 

 Pontryagin set up a general theory of the character of commu- 

 tative groups. This theory, and the theorems on the structure 

 of rather wide types of topological groups completely recon- 

 structed so-called topological algebra. The results obtained by 

 Pontryagin on the theory of topological groups are set forth in 

 the monograph "Continuous Groups" (1938), (Stalin Prize 1941). 

 Pontryagin also has worked in algebra, theory of the Lei 

 groups, and differential geometry. 

 Bibliography: 



Continuous Groups, 2nd ed. Moscow: 1954. 



Basis of Combinational Topology. Moscow-Leningrad: 1947. 



Characteristic cycles of differentiating sets. Mat. Sbornik, 



New Series, 1947, 21, #2, 233-284. 



