Professor George Chogoshvili

1914-1998

 

EDUCATION

Tbilisi State University, student, 1931-1932;

Moskow State University, Student, 1932-1937;

Post graduate (Aspirant) 1937-1939.

 

DEGREES

Candidate of Sciences (PhD), 1939, Moskow State University;

Doctor of Sciences (Habilitation), 1945, Steklov Mathematical Institute, Moskow.

 

MEMBERSHIP IN SCIENTIFIC ACADEMIES

Corresponding member of the Georgian Academy of Sciences, 1956,

Academician of the Georgian Academy of Sciences, 1960.

  

POSITIONS HELD

1940 - 1998 Mathematical Institute of Georgian Academy of Sciences;

1962 - 1989 Head of Department of Geometry and topology;

1946 - 1998 Chair of Algebra and Geometry at Tbilisi State University.

  

MAIN PUBLICATIONS OF ACADEMICIAN CHOGOSHVILI

1. On a theorem in the theory of dimensionality. (English) Compositio Math. 5, 292-298 (1937).

2. On level surfaces and domains of smaller values of a function defined on a bounded manifold. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 24, 635-639 (1939).

3. On the variation of Betti numbers of a moving level surface. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 22, 293-297 (1939).

4. On the homology theory of topological space. (English) Mitteil. Georg. Abt. Akad. Wiss. USSR 1, 337-340 (1940).

5. On Schnirelmann's transformations. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 30, 199-203 (1941).

6. Ueber Konvergenzraeume. (Russian. German summary) Rec. Math. Moscou, n. Ser. 9, 377-383 (1941).

7. Behavior of some topological invariants on level surfaces. Bull. Acad. Sci. Georgian SSR, 3 , 995-999 (1942).

8. The Betty groups of domains of smaller values. Bull. Acad. Sci. Georgian SSR, 4 , 853-859 (1943).

9. On the duality law in normal spaces. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 48, 233-235 (1945).

10. Theoreme de dualite pour le polyedre infini. (French) C. R. Acad. Sci., Paris 221, 15-17 (1945).

11. On duality relations in topological spaces. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 46, 131-132 (1945).

12. The duality law for retracts. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 51, 91-94 (1946).

13. On duality relations in topological spaces. Uspehi Mat. Nauk, 46, 131-132 (1946).

14. On level surfaces and regions of smaller values. Bull. Acad. Sci. Georgian SSR, 17 , 203-243 (1949).

15. Ueber Homologieapproximationen und Dualitaetssaetze fuer beliebige Mengen. (Russian) Mat. Sb., n. Ser. 28(70), 89-118 (1951).

16. On the equivalence of functional and spectral theory of homology. Izv. Akad. Nauk SSSR, Ser. Mat., 15, 421-438 (1951).

17. On the fundamental homomorphisms of duality. Akad. Nauk. Gruzin. SSR, Trudy Mat. Inst. Razmadze, 18, 1-52 (1951).

18. On spectrally singular homology groups. Soobsh. Acad. Nauk Gruzin. SSR, 14, 583-588 (1953).

19. Zur Anwendung der direkten Spektren bikompakter Gruppen in der Theorie der Homologien. (Russian) Soobshch. Akad. Nauk Gruz. SSR 15, 655-662 (1954).

20. On the application of direct spectra of bicompact groups in homology Theory. Soobsh. Acad. Nauk Gruzin. SSR, 15 , 655-662 (1954).

21. On Cech groups of infinite chains and finite cochains. Soobsh. Acad. Nauk Gruzin. SSR, 19, 5 , 513-520 (1957).

22. Generalization of the Steenrod duality rule. Soobsh. Acad. Nauk Gruzin. SSR, 21 , 641-648 (1958).

23. Homology groups of an infinite complex. Soobsh. Acad. Nauk Gruzin. SSR, 23 , 641-648 (1959).

24. Singular homology groups with compact coefficient group. Soobsh. Acad. Nauk Gruzin. SSR, 25, 641-648 (1960).

25. On homology theory of non-closed sets (English)[CA] General Topology and its Relations to modern Analysis and Algebra, Proc. Sympos. Prague 1961, 123-132 (1962).

26. Generalized products and limits and their applications in homology theory (English. Russian original) Russ. Math. Surv. 21, No.4, 13-23 (1966); translation from Usp. Mat. Nauk 21, No.4(130), 23-34 (1966).

27. Homology theory of noncompact spaces (Russian) [CA] Tr. IV Vsesoyuz. Mat. S"ezda, Leningrad 1961, 2, 57-62 (1964).

28. Sur les groupes d'homologie de l'espace, bases sur une categorie donnee de complexes (French) [CA] Topol. Appl., Symp. Herceg-Novi (Yugoslavia) 1968, 109 (1969).

29. On projective homology and homotopy groups. (English) [CA] Topics in Topol., Colloqu. Keszthely 1972, Colloquia Math. Soc. Janos Bolyai 8, 155-164 (1974).

30. On the construction of a functor generated by homology. (Russian) Soobshch. Akad. Nauk Gruz. SSR 92, 273-276 (1978).

31. On the properties of a functor generated by homology. (Russian) Soobshch. Akad. Nauk Gruz. SSR 94, 529-532 (1979).

32. On properties of D-functors generated by cohomologies. (Russian) Soobshch. Akad. Nauk Gruz. SSR 99, 529-532 (1980).

33. On D-functors. (Russian) Soobshch. Akad. Nauk Gruz. SSR 104, 529-532 (1981).

34. On the relation of D-functors to analogous functors. (Russian) Soobshch. Akad. Nauk Gruz. SSR 108, 473-476 (1982).