Mekinos We show that an infinite totally bounded topological group never admits a transversal group topology and we obtain a new criterion for precompactness in lattice-theoretical terms the existence xritmetica transversal group topologies for a large class of Abelian groups containing all divisible and all finitely generated groups. The construction is delicate, as these subgroups must have non-trivial convergent sequences in some models of ZFC. This volume will be of interest to graduate students and professional researchers in many branches of mathematics and theoretical computer science. We show that this growth can be either polynomial or exponential. As applications we give new proofs of the connection between the algebraic and the topological entropy in the abelian case and of the connection of the topological entropy with the finite depth for topological automorphisms. It is shown that divisible coarse convergence groups are complete.

Author:Shazil Mudal
Language:English (Spanish)
Published (Last):3 July 2017
PDF File Size:11.88 Mb
ePub File Size:10.23 Mb
Price:Free* [*Free Regsitration Required]

Prodanov e L. Tholen Algebraic structure of the pseudocompact groups, Memoirs Amer. ISBN: jointly with L. Selected papers A class of compact abelian groups, Annuaire Univ. Sofia, Fac. Minimal topologies on divisible groups, Lecture Notes in Mathematics, Vol.

On the structure of linearly compact rings and their dualities, Rend. VIII, fasc. On a conjecture of Prodanov, C. Bulgare Sci. Closure operators I, Topology Appl. On an unpublished manuscript of Ivan Prodanov concerning locally compact modules and their dualities. Algebra, 17 jointly with A. Products of minimal abelian groups, Math. Compact-like totally dense subgroups of compact groups, Proc. Shakhmatov Pseudocompact and countably compact abelian groups: Cartesian products and minimality, Trans.

Dimension and connectedness in pseudo-compact groups, Comp. Zero-dimensionality of some pseudocompact groups, Proc. Classes of abelian groups related to sequential convergence, Comm. Algebra, 22 15 Isomorphisms between homeomorphic topological groups, in: F. Newell, Eds. Uniqueness of dualities, in: A. Facchini and C. Menini ed.

Complementation in the lattice of Equivalence Relations, Discr. Chains of pseudocompact group topologies, Journal of Pure and Appl. Algebra Categorically compact topological groups, Journal of Pure and Appl.

Algebra jointly with V. Cardinal invariants and independence results in the lattice of precompact group topologies, Journal of Pure and Appl. Algebra jointly with A. Berarducci e M. Forti e S. Compactness and connectedness in topological groups, Topology Appl. Quotients of zero-dimensional precompact abelian groups, Topology Appl.

Classes of functions characterized by images of the sets, Colloq. Mathematicum, Vol. Ciesielski e S. Watson , Countably compact groups satisfying the open mapping theorem, Topology Appl. Some topological groups with and some without suitable sets, Topology Appl. Tkachenko and V. On the poset of totally dense subgroups of compact groups, Topology Proc. Sequential completeness of quotient groups, Bull.

Topological groups with thin generating sets, Jour. Pure Appl. Algebra , n. Suitable sets in some topological groups, Journal of Group Theory, 3 , jointly with J. Essential subgroups of topological groups, Comm. Algebra, 28 10 jointly with E. Locally compact abelian groups admitting totally suitable sets, Journal of Group Theory, 4 jointly with E.

Sequentially complete groups: dimension and minimality, Jour. Algebra , jointly with M. Weak completeness of free topological groups, Topology Appl. Algebra, , n. Varieties generated by countably compact Abelian groups, Proc.

Functions with distant fibers and uniform continuity, Topology Appl. Berarducci e J. Essential density and total density in topological groups, J.

Group Theory, 5 n. Uniform quasi components, thin spaces and compact separation, Topology Appl. Algebraic structure of small countably abelian compact groups, Forum Math. A class of abelian groups defined by continuous cross sections in the Bohr topology, Rocky Mountain J. Dualities of locally compact modules over the rationals, J. Algebra, jointly with C. Algebra,32 jointly with R. Di Santo. Barbieri, C.

Milan and H. Topological groups, in: Encylopedia of General Topology, Elsevier. On a property of the adele ring of the rationals, Proc. An additivity theorem for uniformly continuous functions, Topology Appl.

A characterization of the MAP abelian groups, J. Algebra , no. Milan and A. Forcing hereditarily separable countably compact group topologies on Abelian groups,Topology Appl. On transversal group topologies Topology Appl. Charactrizing subgroups of the compact abelian groups J. Algebra jointly with K. Transversal group topologies of non-abelian groups, Topology Appl.

Local connectedness and extension of uniformly continuous functions, Topology Appl. Berarducci and Jan Pelant Torsion theories and radicals in normal categories, J. Clementino e W. Weight of closed subsets algebraically generating a dense subgroup of a compact group, to appear in Math.

Nachrichten, jointly with D. Shakhmatov A charactrerization of the circle group via uniqueness of roots, to appear in Topology Appl jointly with R. Selected topics from the structure theory of topological groups, to appear in: E. Perl, ed.


Dikran Dikranjan, Maria Silvia Lucido – Aritmetica e algebra TNT-Vilage Torrent



Welcome to Dikran Dikranjan's home page


Related Articles