PROTASOV, IHOR; ZELENYUK, EVGHEN. Topologies on Groups Determined by Sequences. VNTL Publishers, 1999. ISBN 9667148661, 145 x 215 mm, 111 pp., laminated wrappers.

In this book a method is developed for obtaining group topologies via defining relations. The part of defining relations for a topology on group is played by special filters, the T-filters. A special attention is payed to T-sequences, a particular case of T-filters. This matter is connected with the fact that the definition of a group topology by a T-sequence is maximally constructive in the sense that, by varying the arithmetical properties of the T-sequence, we are able to obtain the desired topologico-algebraic properties for the group. Mathematical Studies: Monograph Series. Volume 4.