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Тарас Радул


Family Name: Radul
Given Name: Taras
Place and date of birth: Gorozhanka (Ivano-Frankivsk Region), 18.05.1965
Education: Ivan Franko National University of Lviv (1982-83, 1985--89)
Master Thesis: "Modified inclusion hyperspace functor"
defended in 1989 under supervising of M.Zarichnyi
Post-graduate studies: Lomonosov Moscow State University (1989--92)
Ph.D.Thesis: "Infinite-Dimensional Manifolds and Bundles in the Theory of Some Covariant Functors"
defended in 1992 in Lomonosov Moscow State University under supervision of V.V.Fedorchuk
Employment: (1993--1995) Physical and Mathematical Lyceum
(1995--2000) Ya. Pidstryhach Institute of Applied Problems of Mechanics and Mathemactics of National Academy of Sciences
(2000--- ) Docent at the department of Geometry and Topology of Ivan Franko National University of Lviv.
Professional Activity: Member of AMS, Referee of "Mathematical Reviews" and "Zentralblatt fuer Mathematik"
e-mail: tarasradul at yahoo.co.uk
Basic courses: Analytic geometry, Differential Geometry and Topology.
Special Courses: Dimension Theory, Theory of Categories, Digital Topology
Scientific interests: Infinite-dimensional topology, dimension theory, theory of measure, theory of categories
Coauthors: R.Ardan, T.Banakh, B.Bokalo, I.Guran, D.Repovs, M.Zarichnyi

Scientific works:


Textbooks:

  1. T.Banakh, T.Radul, M.Zarichnyi, Absorbing sets in infinite-dimensional manifolds. VNTL, Lviv. 1996. 232 p.
  2. T.Banakh, T.Radul. Digital topology. Text book. Lviv University Press. Lviv. 1999. 20p.
  3. R. Ardan, T.Banakh, T.Radul. Deterministic fractals. Text book. Lviv University Press. Lviv. 1997. 20p.
  4. R. Ardan, T.Banakh, T.Radul. Dynamic system and fractals. Text book. Lviv University Press. Lviv. 1997. 20p.

Scientific Papers:

  1. T.Banakh, B.Bokalo, I.Guran, T.Radul, M.Zarichnyi, Problems from the Lviv topological seminar // in: Open Problems in Topology, II (E.Pearl ed.), Elsevier, 2007, p.655-667.
  2. T.Radul. On universal spaces and absorbing sets related to a transfinite extension of covering dimension. // Topology Appl. 154:8 (2007), 1794--1798.
  3. T.Radul. On classification of sigma hereditary disconnected spaces // Matem. Studii. 26:1 (2006), 97--100.
  4. T.Radul. Addition and subspace theorems for asymptotic large inductive dimension // Colloq. Math. 106:1 (2006), 57--67.
  5. T.Radul, D.Repovs. On topological properties of the Hartman-Mycielski functor // Proc. Indian Acad. Sci. Math. Sci. 115:4 (2005), 477--482.
  6. T.Radul. Algebras of Lawson monads // Matem. Studii. 22:1 (2004), 21--26.
  7. T.Radul. A normal functor based on the Hartman-Mycielski construction // Mat.Studii. 19 (2003), 201-207.
  8. T.Radul. On connection between some transfinite dimensions // Topology and its Appl. 128 (2003), 49-53.
  9. T.Radul. A new transfinite dimension classifying sigma hereditary disconnected spaces // Reporte Interno N.91. Universidad Nacional de Colombia. 2002. 5p.
  10. T.Radul. Absorbing sets in countable powers of absolute retracts // Reporte Interno N.92. Universidad Nacional de Colombia. 2002. 6p.
  11. T.Radul. Functional representations of Lawson monads // Applied Categorical Structures. 9 (2001), 457-463.
  12. T.Radul. Categorical properties of iterated power // Revista Colombiana de matematicas. 5:1 (2001), 13-20.
  13. T.Radul. On strongly Lawson and I-Lawson monads // Boletin de Matematicas, 6:2 (1999), P.69-76.
  14. T.Banakh, T.Radul. Geometry of mappings of probability measure spaces (in Russian) // Mat. Stud. 11:1 (1999), 17-30.
  15. T.Radul. Topology of the space of ordering-preserving functionals // Bull.of the Polish Academy of sciences math. 47:1 (1999) 53-60.
  16. T.Radul, M.Zarichnyi. Nonexistence of absorbing sets for a transfinite extension of covering dimension // Mat.Stud. 9:1 (1998) 94--98.
  17. T.Radul. On the functor of order-preserving functionals // Comment.Math.Univ. of Caroline. 39:3 (1998) 609-615.
  18. T.Radul, Absorbing spaces for C-compacta // Topology and Appl. 83 (1998) 127--133.
  19. T.Banakh, T.Radul. On the topology of the space of probability measures and geometry of their mappings (in Russian) // Mat.Sbornik, 188:7 (1997) 23--46.
  20. T.Radul, On the space of compacta with dense set of points with non-single valued nearest point mapping // Arch. der Math. 69 (1997) 338--342.
  21. T.Radul, A functional representation of the hyperspace monad // Comment.Math.Univ. of Caroline. 38 (1997) 165-168.
  22. T.Banakh, T.Radul, On universality of countable powers of absolute retracts // Ukrainskij Mat. Zhurnal. 48:4 (1996) 540--542.
  23. T.Banakh, T.Radul. On barycentrically soft compacta and affine retracts of products of metrizable convex compacta // Mat.Stud. 6 (1996) 99-104.
  24. T.Radul, M.M.Zarichnyi, Monads in the category of compacta (in Russian) // Uspekhi Mat. Nauk. 50:3 (1995) 83-108.
  25. T.Radul, On baricentrically soft compacta // Fund.Math. 148 (1995) 27-33.
  26. T.Radul, The absorbing sets for countable-dimensional spaces // Mat. Stud. 4 (1995) 105-110.
  27. T.Banakh, T.Radul, On the functor of probability Radon measures (in Ukrainian) // Dopov. Ukr.Acad.of scien. (1994). No.8. P.16-21.
  28. T.Radul, On the baricentric map of probability measures (in Russian) // Vestnik Mosc. Univ. Ser1.1994.N.1.P.3-6.
  29. T.Radul, On certain represantations of the pseudointerior of the Hilbert cube in the probability measures spaces (in Russian) //Vestnik Mosc.Univ.Ser 1.1993.N.3.P.79-81.
  30. T.Radul, The Whithney maps for the space of hyperspaces of inclusion (in Russian) // Matematicheskie Zametki. 52:3 (1992) 117-122.
  31. T.Radul, On some properties the space of hyperspaces of inclusion (in Russian) // General topology. Spaces, maps and functors. Moscow University Press,Moscow, 1992. P.125-132.
  32. T.Radul, Monad of hyperspaces of inclusion and its algebras (in Russian) // Ukrainskyi mat.zhurnal. 42:6 (1990) 806-812.
  33. T.Radul, On modified functor of hyperspaces of inclusion (in Russian) // Isvestiya vuzov. Matematika. 1990.N.12. P.63-65.
  34. T.Radul, Monads generated by some normal functors in category of compacta (in Ukrainian) // Visnyk Lviv University.1990.iss.32.P.46-48.

Conference Reports:
  1. T.Radul. On Lawson monads and its algebras // IV International Algebraic Conference in Ukraine. Lviv. 2003. P.190
  2. T.Radul . On Lawson monads // Memorias de 9 Nacional Simposio de matematicas.p.56-57. Bogota, Colombia. 2000
  3. T.Radul, Absorbing spaces related to C-compacta // Borsuk & Kuratowski session. Warszawa. 1996.
  4. T.Radul, Borelian subset in the space of probability measures //Proc. IX Intern. Conf. on Top. and Appl. Kiev,1992. P.115.
  5. T.Radul, The pairs of probability measures spaces homeomorphic to (Q,S) (in Russian)// Proc. VI Simp. Tirasp. on Gen. Top. and Appl.-Chisinau, 1991.-P.176-177.
  6. T.Radul, On instrict characterisation of algebras generated by some functors in category of compacta (in Russian)// Proc.Symp.on theory of rings, algebras and moduli.Lviv. 1990.P.9-10.
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