Monographs

Editor of Proceedings

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 On an unpublished manuscript of Ivan Prodanov concerning locally compact modules and their dualities.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. On Conway's question: a chase for completeness, Appl. Cat. Structures vol. 15, no. 5-6 (2007) 511-539 (jointly with E. Peinador e V. Tarieladze).
62. Pseudocompact totally dense subgroups}, Proc. Amer. Math. Soc., vol. 136, no. 3 (2008) 1093-1103 (jointly with A. Giordano Bruno)
63. Topological torsion related to some recursive sequences of integers}, Math. Nachrichten 281, Issue 7 (2008) 930-950 (jointly with G. Barbieri, C. Milan e H. Weber).
64. Algebraic entropy of endomorphisms of abelian groups}, Trans. AMS 361 (2009), 3401-3434 (jointly with B. Goldsmith, L. Salce and P. Zanardo),
65. Quasi-convex density and determining subgroups of compact abelian groups}, J. Math. Anal. Appl. 363 (2010), no. 1, 42--48 (jointly with D. Shakhmatov).
66. Locally compact abelian groups admitting non-trivial quasi-convex null sequences}, Jour. Pure Appl. Alg. 214 (2010) 885--897 (jointly with G. Luk\' acs).
67. Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density}, Proc. Amer. Math. Soc. 138 (2010), 2979-2990 (jointly with D. Shakhmatov).
68. Adjoint algebraic entropy}, J. Algebra 324 (2010) 442--463 (jointly with A. Giordano Bruno, L. Salce)
69. Locally minimal topological groups}, J. Math. Anal. Appl. 370 (2010) 431--452 (jointly with L. Au\ss enhofer, M.J. Chasco, X. Dominguez).
70. The Markov-Zariski topology of an abelian group, J. Algebra, 324, Issue 6, (2010), 1125-1158 (jointly with D. Shakhmatov)
71. Dualities in topological groups}, Scientiae Mathematica Japonicae, 72, n. 2 (2010) 197--235 (jointly with M.V. Ferrer and S. Hern\' andez).
72. A Kronecker-Weyl theorem for subsets of abelian groups}, Adv. Math. 226 (2011) 4776--4795 (jointly with D. Shakhmatov).
73. Locally minimal topological groups}, 2, J. Math. Anal. Appl. 380 (2011) 552--570, (jointly with L. Au\ss enhofer, M.J. Chasco, X. Dominguez).
74. On zero-dimensionality and the connected component of locally pseudocompact groups}, Proc. Amer. Math. Soc. 139, n. 3 (2011) 2995--3008 (jointly with G. Luk\' acs).
75. Quasi-convexly dense and suitable sets in the arc component of a compact connected group}, Math. Nachrichten 285, No. 4, (2012) 476 -- 485 (jointly with D. Shakhmatov).
76. The Pinsker subgroup of an algebraic flow, Jour Pure Appl. Algebra, 216 (2012) 364--376 (jointly with A. Giordano Bruno).
77. Entropy in a category}, ACS, Volume 21, Issue 1 (2013), Page 67-101 arXiv:1006.5122 (jointly with A. Giordano Bruno).
78. Metrization criteria for compact groups in terms of their dense subgroups, Fundam. Math. 221 (2013) 161-- 187. (jointly with D. Shakhmatov).
79. Endomorphisms of abelian groups with small algebraic entropy, Jour. of Linear Algebra and Appl. 439 (2013) 1894--€“1904 (jointly with Ketao Gong and Paolo Zanardo).
80. Minimality conditions in topological groups}, Recent Progress in General Topology III, Hart, K.P., van Mill, Jan, Simon, P (Eds.) Springer Verlag (Atlantis Press), Berlin, 2014, pp. 229--327 (jointly with Michael Megrelishvili)
81. Compact-like abelian groups without non-trivial quasi-convex null sequences, J. Pure Appl. Algebra 218 (2014) 135--“147 (jointly with Gabor Lukacs
82. A class of metrizable locally quasi-convex groups which are not Mackey}, Forum Math. 26 (2014), 723--€“757 (jointly with Elena Mart\'in-Peinador and V. Tarieladze),
83. Characterizing sequences for precompact group topologies}, J. Math. Anal. Appl. 412 issue 1, 2014. p. 505--519 (jointly with S. Gabriyelyan and V. Tarieladze).
84. Intrinsic algebraic entropy}, Jour. Pure Appl. Algebra 219 (2015), 2933-2961 (jointly with A. Giordano Bruno, L. Salce, S. Virili).
85. Closure operators and dual closure operators, J. Algebra 439 (2015), pp. 373--416 (jointly with Walter Tholen)
86. Complete solution of Markov's problem on connected group topologies}, Adv. Math. 286 (2016), 286--307 (jointly with D. Shakhmatov).
87. Entropy on abelian groups, Adv. Math. 298 (2016), 612--653, (arXiv:1007.0533) (jointly with A. Giordano Bruno).
88. Infinite direct sums and direct products in topological groups and topological vector spaces}, J. Math. Anal. Appl. 437 (2016), no. 2, 1257-1282 (jointly with D. Shakhmatov and J. Sp\v{e}v\'ak).
89. Characterizations of Lie groups, Formum Math. 30(2) ( 2018) 295--320 (jointly with D. Shakhmatov).
90. Cowellpoweredness of some categories of quasi-uniform spaces}, Applied Cat. Structures 26 (2018), no. 6, 1159--1184. (jointly with H. P. Kunzi).
91. Locally Compact Groups and Locally Minimal Group Topologies}, Fundam. Math. 244 (2019), no. 2, 109--124 (jointly with W. He, W. Xi and Z. Xiao)
92. Hereditarily minimal topological groups}, Forum Math. 31 (2019), no. 3, 619--646 (jointly with Schlossberg, Toller, W. Xi);
93. Quotients of locally minimal group}, J. Math. Anal. Appl. 475, Issue 2, (2019 )1215--1241 (jointly with D.P. W. He, Z. Xiao, W. Xi).
94. Dimension and entropy in compact topological group}, J. Math. Anal. Appl. 476, Issue 2, 15 (2019) 337--366 (jointly with M. Sanchis).
95. Entropy on normed semigroups (towards a unifying approach to entropy), Diss. Math. 542 (2019), 1–90 (jointly with A. Giordano Bruno)
96. S-characterized subgroup of the circle group, Fundamenta Math. 249 (2020)185--209 (jointly with P. Das, and Kumardipta Bose).
97. Algebraic entropy of amenable semigroup actions, J. Algebra 556 (2020), 467--546 (jointly with A. Giordano Bruno and A. Fornasiero),
98. Locally quasi-convex compatible topologies on LCA groups}, Math. Z. 296, (2020) 325--351 (jointly with Lydia Aussenhofer)
99. Topological entropy, upper capacity and fractal dimensions of finitely generated semigroup actions, Colloq. Math. 163 (2021) 131--151 (jointly with A. Bi\'s, A. Giordano Bruno and L. Stoyanov).
100. Finiteness of topological entropy for locally compact abelian $p$-groups, Glasgow J.M. (jointly with A. Giordano Bruno and F. Russo), DOI: https://doi.org/10.1017/S0017089520000038