Selected publications

Monographs

  • Topological Groups: Characters, Dualities and Minimal Group Topologies, Pure and Applied Mathematics, Vol. 130 , Marcel Dekker Inc. , New York-Basel, 1990, pp. x+287, ISBN: 0-8247-8047-7 (jointly with Iv. Prodanov e L. Stoyanov)
  • Categorical Structure of Closure Operators with Applications to Topology, Algebra and Discrete Mathematics, Mathematics and its Applications, vol. 346, Kluwer Academic Publishers , Dordrecht-Boston-London 1995, pp. 358+xviii, ISBN: 0-7923-3772-7 (jointly with W. Tholen)
  • Algebraic structure of the pseudocompact groups, Memoirs Amer. Math. Soc. , 133/633, April 1998, pp. viii+83 (jointly with D. Shakhmatov).

    • Editor of Proceedings

  • Abelian Groups, Module Theory and Toplogical Algebra, Proceedings in Honour of Adalberto Orsatti's 60-th Birthday, Padova 19-21 June 1997, ``Lecture Notes in Pure and Applied Mathematics", vol. 201, Marcel Dekker, New York 1998, xviii+444 pp. ISBN: 0-8247-1937-9 (jointly with L. Salce).

    • Selected papers

    1. A class of compact abelian groups, Annuaire Univ. Sofia, Fac. Math. Méc. 70, (1975/76) 191-206 (jointly with Iv. Prodanov).
    2. Minimal topologies on divisible groups, Lecture Notes in Mathematics, Vol. 1060, Springer-Verlag, Berlin, (1984) 216-226.
    3. Sur la minimalité des produits de groupes topologiques abéliens, C. R. Acad. Sci. Paris 299, Série I, (1984) 303-306.
    4. On the structure of linearly compact rings and their dualities, Rend. Accad. Naz. dei XL, Memorie di Mat., 102, vol. VIII, fasc. 9, (1984) 143-184 (jointly with A. Orsatti).
    5. On a conjecture of Prodanov, C. R. Acad. Bulgare Sci. 38, (1985) 1117-1120.
    6. Closure operators I, Topology Appl. 27 (1987) 129-143 (jointly with E.Giuli).
    7. S(n)-\theta-closed spaces, Topology Appl. 28 (1988) 59-74 (jointly with E. Giuli).
    8. On an unpublished manuscript of Ivan Prodanov concerning locally compact modules and their dualities. Comm. Algebra, 17 (1989) 2739-2771 (jointly with A. Orsatti).
    9. Products of minimal abelian groups, Math. Zeit. 204 (1990) 583-603 (jointly with D. Shakhmatov).
    10. Compact-like totally dense subgroups of compact groups, Proc. Amer. Math. Soc. 114, no. 4 (1992) 1119-1129 (jointly with D. Shakhmatov)
    11. Pseudocompact and countably compact abelian groups: Cartesian products and minimality, Trans. Amer. Math. Soc. 335, (1993) 775-790 (jointly with D. Shakhmatov).
    12. Dimension and connectedness in pseudo-compact groups, Comp. Rend. Acad. Sci. Paris, 316, Série I (1993) 309-314.
    13. Zero-dimensionality of some pseudocompact groups, Proc. Amer. Math. Soc. 120, n. 4 (1994) 1299-1308.
    14. Classes of abelian groups related to sequential convergence, Comm. Algebra, 22 (15) (1994) 6073-6090.
    15. The category of S(\alpha)-spaces is not cowellpowered, Topology Appl., 61 (1995) 137-150. (jointly with S. Watson).
    16. Isomorphisms between homeomorphic topological groups, in: F. de Giovanni and M. Newell, Eds., Infinite Groups 1994(Ravello), 33--39, de Gruyter, Berlin, 1996 (jointly with V. Uspenskij).
    17. Uniqueness of dualities, in: A. Facchini and C. Menini ed., Abelian Groups and Modules, Proc. of the Padova Conference, Padova, Italy, June 23-July 1, 1994, Mathematics and its Applications, vol. 343, Kluwer Academic Publishers, Dordrecht-Boston-London, The Netherlands, 1995, pp. 123-133.
    18. Complementation in the lattice of Equivalence Relations, Discr. Math. 159 (1996) 83-94 (jointly with Alberto Policriti).
    19. Chains of pseudocompact group topologies, Journal of Pure and Appl. Algebra 124 (1998) 65-100.
    20. Categorically compact topological groups, Journal of Pure and Appl. Algebra 126 (1998) 149-168 (jointly with V. Uspenskij).
    21. Cardinal invariants and independence results in the lattice of precompact group topologies, Journal of Pure and Appl. Algebra126 (1998) 19-49 (jointly with A. Berarducci e M. Forti e S. Watson).
    22. Compactness and connectedness in topological groups, Topology Appl. 84 (1998) 227-252;
    23. Recent advances in minimal topological groups, Topology Appl. 85 (1998) 53--91.
    24. Quotients of zero-dimensional precompact abelian groups, Topology Appl. 86, n.1 (1998) 47--62.
    25. Classes of functions characterized by images of the sets, Colloq. Mathematicum, Vol. 77 (1998) 211--232 (jointly with K. Ciesielski e S. Watson),
    26. Countably compact groups satisfying the open mapping theorem, Topology Appl. 98 (1999) 81-129.
    27. On the minimality of the powers of the minimal \omega-bounded abelian groups, Proc. Amer. Math. Soc. 127 (1999) 3101--3110 (jointly with A. Tonolo).
    28. Some topological groups with and some without suitable sets, Topology Appl., 98 (1999) 131--148 (jointly with M. Tkachenko and V. Tkachuk).
    29. On the poset of totally dense subgroups of compact groups, Topology Proc., 24 (1999), 103--128 (jointly with W. Comfort).
    30. Sequential completeness of quotient groups, Bull. Austral. Math. Soc. 61 (2000), 129--151 (jointly with M. Tkachenko).
    31. Topological groups with thin generating sets, Jour. Pure Appl. Algebra 145, n. 2 (2000) 123--148 (jointly with M. Tkachenko and V. Tkachuk).
    32. Suitable sets in some topological groups, Journal of Group Theory, 3 (2000), 293-321 (jointly with J. Trigos).
    33. Essential subgroups of topological groups, Comm. Algebra, 28(10) (2000) 4941-4970 (jointly with E. Boschi).
    34. Locally compact abelian groups admitting totally suitable sets, Journal of Group Theory, 4 (2001) 59-73 (jointly with E. Boschi).
    35. Sequentially complete groups: dimension and minimality, Jour. Pure Appl. Algebra 157 (2001), 215-239 (jointly with M. Tkachenko).
    36. Weak completeness of free topological groups, Topology Appl., 112, Issue 3 (2001) 259-287 (jointly with M. Tkachenko).
    37. Characterization of the tori by density of the set of solutions of linear equations, in: Abelian Groups, Rings and Modules: AGRAM 2000 Conference, July 9-15, 2000 Perth, Western Auatrslia, Contemporary Mathematics (Amer. Math. Soc.) vol. 273 (2001) 107-116 (jointly with M. Tkachenko).
    38. Between continuous and uniformly continuous functions on R^n, Topology Appl., 114, n. 3 (2001) 311-325 (jointly with K. Ciesielski).
    39. Solution to van Douwen's problem on Bohr topologies, Jour. Pure Appl. Algebra, 163, n. 2 (2001), 147-158 (jointly with S. Watson).
    40. Varieties generated by countably compact Abelian groups, Proc. Amer. Math. Soc., 130 (2002), 2487-2496 (jointly with M. Tkachenko).
    41. Functions with distant fibers and uniform continuity, Topology Appl., 121, n. 1-2 (2002) 3-23 (jointly with A. Berarducci e J. Pelant).
    42. Essential density and total density in topological groups, J. Group Theory, 5 n. 3 (2002) 325-350 (jointly with W. Comfort).
    43. Uniform quasi components, thin spaces and compact separation, Topology Appl. 122 (2002) 51-64 (jointly with A. Berarducci e J. Pelant).
    44. Algebraic structure of small countably abelian compact groups, Forum Math. 15 (2003), 811-837 (jointly with M. Tkachenko).
    45. A class of abelian groups defined by continuous cross sections in the Bohr topology, Rocky Mountain J. Math. 32, n. 4 (2002) 1331--1355.
    46. Dualities of locally compact modules over the rationals, J. Algebra, 256 (2002) 433-466 (jointly with C. Milan).
    47. Answer to Armacost's quest on topologically torsion elements of the circle group, Comm. Algebra,32 (2004) 133-146 (jointly with R. Di Santo).
    48. Answer to Raczkowski's quest on convergent sequences of integers, Topology Appl, 132 (2003), no. 1, 89--101 (jointly with G. Barbieri, C. Milan and H. Weber).
    49. Topological groups, in: Encylopedia of General Topology, Elsevier.
    50. On a property of the adele ring of the rationals, Proc. Venice Conference of Algebra 2002, ``Lecture Notes in Pure and Applied Mathematics", vol. 236, Marcel Dekker pp. 133-137 (jointly with Umberto Zannier).
    51. An additivity theorem for uniformly continuous functions, Topology Appl. 146/147 (2005), 339--352 (jointly with A. Berarducci e J. Pelant).
    52. A characterization of the MAP abelian groups, J. Pure Appl. Algebra 197 (2005), no. 1-3, 23--41 (jointly with C. Milan and A. Tonolo).
    53. Forcing hereditarily separable countably compact group topologies on Abelian groups,Topology Appl. 151 (2005), no. 1-3, 2--54. (jointly with Dmitri Shakhmatov).
    54. On transversal group topologies Topology Appl. 153 (2005), no. 5-6, 786--817 (jointly with M. Tkachenko and V. Yaschenko).
    55. Closure operators in topological groups related to von Neumann's kernel, Topology Appl. 153 (2006), no. 11, 1930--1955.
    56. Charactrizing subgroups of the compact abelian groups J. Pure Appl. Algebra 208 (2006) 285--291 (jointly with K. Kunen).
    57. Transversal group topologies of non-abelian groups, Topology Appl. 153 (2006) 3338--3354 (jointly with M. Tkachenko and V. Yaschenko).
    58. Local connectedness and extension of uniformly continuous functions, Topology Appl. 153 (2006) 3355--3371 (jointly with A. Berarducci and Jan Pelant)
    59. Torsion theories and radicals in normal categories, J. Algebra 304 (2006), no. 1, 98--129. (jointly with M. M. Clementino e W. Tholen)
    60. CLP-compactness for topological spaces and groups, to appear in Topology Appl.
    61. Weight of closed subsets algebraically generating a dense subgroup of a compact group, to appear in Math. Nachrichten, (jointly with D. Shakhmatov)
    62. A charactrerization of the circle group via uniqueness of roots, to appear in Topology Appl (jointly with R. Di Santo).
    63. Selected topics from the structure theory of topological groups, to appear in: E.Perl, ed., Open Problems in Topology 2, Elsevier 2007 (jointly with D. Shakhmatov).