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Publications of Assoc. Prof. Georgi Dimov, Ph. D.


  1. On some special compactifications of rim-compact spaces, Compt. Rend. Acad. bulgare Sci., 30 (4), 1977, 483-486; (in Russian).
  2. Compactifications with discrete remainder, Compt. Rend. Acad. bulgare Sci., 30 (6), 1977, 797-800; (in Russian).
  3. Compactifications with a remainder of a special type, Coll. Math. Soc. János Bolyai, 23, Topology, Budapest (Hungary), 1978, 367-370.
  4. (jointly with D.Doichinov) Supertopological spaces and locally compact extensions of topological spaces, Mitteilungen der Mathematischen Gesellschaft der DDR, 4, 1980, 41-44.
  5. Completely regular extensions of the completely regular spaces, Math. and Educ. Math. 9 (1980), 49-54; (in Russian).
  6. On the family of remainders of a completely regular space in its Hausdorff compactifications, Math. and Educ. Math. 10 (1981), 132-136; (in Russian).
  7. On the Stone duality, General Topology and its Relations to Modern Analysis аnd Algebra V, Proc. Fifth Prague Topol. Symp. 1981, J. Novak (ed.), Heldermann Verlag, Berlin 1982, 145-146.
  8. (jointly with D. Doichinov) Regular extensions of regular topological spaces, Serdica, 8, 1982, 280-295; (in Russian).
  9. On compactifications of rim-compact spaces with remainders of a special type, Plisca, 6, 1983, 3-18; (in Russian).
  10. (jointly with B. A. Pasynkov) On a theorem of E. Čech, Comp. Rend. Acad. bulgare Sci., 36 (3), 1983, 305-308; (in Russian).
  11. On ĸ-metrizable Hausdorff compactifications of ĸ-metrizable spaces and a new class of spaces, including all separable metrizable spaces, Compt. Rend. Acad. bulgare Sci., 36 (10), 1983, 1257-1260.
  12. An axiomatic characterization of the Stone duality, Serdica, 10, 1984, 165-173.
  13. On Oz-compactifications, Berichte der Mathematisch-Statistischen Sektion im Forschungszentrum - Graz, Ber. n.236, 1985, 1-7.
  14. On ĸ-metrizable Hausdorff compactifications of ĸ-mtrizable spaces, Serdica, 12 (1), 1986, 106-126; (in Russian).
  15. Regular, completely regular and other kinds of extensions of topological spaces, Compt. Rend. Acad. bulgare Sci., 39 (4), 1986, 9-12.
  16. Spaces whose remainders in a Stone-Čech or Freudenthal extension have a special form, Serdica, 12 (2), 1986, 171-188; (in Russian).
  17. (jointly with B. A. Pasynkov) Some analogues of a theorem of E. Čech, in the book “General Topology - Mappings of the Topological Spaces”, Moscow State University, 1986, 35-44; (in Russian).
  18. (jointly with R. Isler and G. Tironi) On functions preserving almost radiality and their relations to radial and pseudo-radial spaces, Comm. Math. Univ. Carolinae 28(4), 1987, 751-781.
  19. On Eberlein spaces and related spaces, Comptes rendus Acad. Sci., Paris, 304, Sér.I, 9, 1987, 233-235.
  20. (jointly with G. Tironi) Some remarks on almost radiality in function spaces, Acta Universitatis Carolinae - Math. Phys., 28 (2), 1987, 49-58.
  21. Baire subspaces of c0(Г) have dense Gδ metrizable subsets, Rendiconti Circolo Matemat. Palermo, Ser. II, Suppl. no.18, 1988, 275-285.
  22. On Rosenthal Theorem, General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the Sixth Prague Topological Symposium 1986, Heldermann Verlag, Berlin 1988, p.660.
  23. (jointly with W. Tholen) A characterization of representable dualities, Categorical Topology and its Relations to Analysis, Algebra and Combinatorics (Prague, 1988), J. Adámek and S. MacLane (editors), World Scientific Publishing, Teaneck, NJ, 1989, 336-357.
  24. (jointly with G. Tironi) A new approach to proximities and compactifications, Compt. Rend. Acad. bulgare Sci., 45 (7), 1992, 5-8.
  25. (jointly with G. Tironi) A new approach to proximities and compactifications - II, Compt. Rend. Acad. bulgare Sci., 45 (8), 1992, 13-15.
  26. (jointly with W. Tholen) Groups of Dualities, Transactions of the American Mathematical Society, 336 (2), 1993, 901-915.
  27. (jointly with St. Barov and St. Nedev) On a theorem of H.-J. Schmidt, Compt. Rend. Acad. bulgare Sci., 46 (3), 1993, 9-11.
  28. Some remarks on the commutability between hyperspaces and subspaces, and on Schmidt’s conjecture, Compt. Rend. Acad. bulgare Sci., 47 (4), 1994, 5-8.
  29. On the commutability between hyperspaces and subspaces, and on Schmidt’s conjecture, Rendiconti dell’Istituto di Matematica dell’Università di Trieste, 25, Fasc. I-II, 1993, 175-194.
  30. (jointly with G. Tironi) Compactifications, A-compactifications and Proximities, Annali di Matematica pura ed applicata, (IV), 169 (1995), 87-108.
  31. (jointly with G. Tironi) Compactifications and A-compactifications of frames. Proximal frames, Mathematical Proceedings of the Cambridge Philosophical Society, 119, (1996), 321-339.
  32. (jointly with St. Barov and St. Nedev) On a question of M. Paoli and E. Ripoli, Bollettino U.M.I., (7) 10-A (1996), 127-141.
  33. (jointly with D. Vakarelov) On Scott consequence systems, Fundamenta Informaticae 33 (1998), 43-70.
  34. Regular and other kinds of extensions of topological spaces, Serdica Math. J. 24 (1) (1998), 99-126.
  35. (jointly with D. Vakarelov) On the investigations of Ivan Prodanov in the theory of abstract spectra, Annuaire de l’Universite de Sofia “St. Kliment Ohridski”, Faculte de Mathematiques et Informatique, Livre 1 - Mathematiques, 1998 (to appear).
  36. (jointly with D. Vakarelov) Some remarks on Scott consequence systems, Annuaire de l’Universite de Sofia “St. Kliment Ohridski”, Faculte de Mathematiques et Informatique, Livre 1 - Mathematiques, 1998 (to appear).
  37. (jointly with G. Tironi) Hausdorff Compactifications and Zero-One Measures, Mathematical Proceedings of the Cambridge Philosophical Society, 131 (2001), 495-505.
  38. (jointly with G. Tironi) Hausdorff Compactifications and Zero-One Measures - II, Applied General Topology, 3(1) (2002), 1-11.
  39. (jointly with A. Caterino and M. C. Vipera) A-compactifications and A-weight of Alexandroff spaces, Bollettino U.M.I. (8), 5-B (2002), 839-858.
  40. (jointly with F. Obersnel and G. Tironi) On Tychonoff-type Hypertopologies, Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001) Topology Atlas, Toronto, 2002, pp. 51-70.
  41. (jointly with D. Vakarelov, I. Duentsch and B. Bennett) A proximity approach to some region-based theories of space, Journal of Applied Non-Classical Logic, v. 12, no.3-4 (2002), 527-559.
  42. (jointly with D. Vakarelov) Construction of all locally compact Hausdorff extensions of Tychonoff spaces by means of non-symmetric proximities, Questions and Answers in General Topology, 22 (2004), 43-56.
  43. (jointly with M.-C. Pedicchio and G. Tironi) Frames and Grids, Applied Categorical Structures, 12 (2004), 181-196.
  44. (jointly with D. Vakarelov) Topological Representation of Precontact Algebras, Relation Methods in Computer Science, W. MacCaull, M. Winter, I. Duentsch (Eds.), Lecture Notes in Computer Science, 3929 (2006), 1-16,  Springer-Verlag Berlin Heidelberg.
  45. (jointly with D. Vakarelov) Contact Algebras and Region-based Theory of Space: A Proximity Approach -- I, Fundamenta
    Informaticae 74(2-3) (2006), 209-249.
  46. (jointly with D. Vakarelov) Contact Algebras and Region-based Theory of Space: A Proximity Approach -- II, Fundamenta
    Informaticae  74(2-3) (2006), 251-282.
  47. (jointly with E. Ivanova) On paracompact and locally compact paracompact extensions, Questions and Answers in General Topology,
    25(2) (2007), 115-123.
  48. (jointly with E. Ivanova) On some categories arising in the theory of locally compact extensions, Mathematica Pannonica 19/2 (2008), 219-239.
  49. A generalization of De Vries' Duality Theorem, Applied Categorical Structures 17 (2009), 501-516.
  50. Some generalizations of the Fedorchuk Duality Theorem -- I, Topology Appl.  156 (2009), 728-746.
  51. Open and other kinds of map extensions over local compactifications, Questions and Answers in General Topology (to appear).
  52. A de Vries-type duality theorem for the category of locally compact spaces and continuous maps - I, Acta Math. Hungar. (to appear).
  53. A de Vries-type duality theorem for the category of locally compact spaces and continuous maps - II, Acta Math. Hungar. (to appear).

 54. Open and other kinds of map extensions over zero-dimensional local compactifications, Topology Appl., 157 (2010), 2251-2260.

 55.  A De Vries-type Duality Theorem for Locally Compact Spaces – II, arXiv:0903.2593v4, 1-37.

 56.  A De Vries-type Duality Theorem for Locally Compact Spaces – III, arXiv:0907.2025v1, 1-31.

 57.  Some generalizations of the Fedorchuk Duality Theorem -- II, arXiv:0710.0181v1. 1-20.

58.  (jointly with E. Ivanova) A new duality theorem for locally compact spaces, arXiv:1011.0079v1. 1-18.

 

 

 
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