Topologies on groups determined by sequences: Answers to several questions of I. Protasov and E. Zelenyuk

Author
T. O. Banakh
Faculty of Mechanics and Mathematics, Lviv National University
Abstract
We answer on several problems of I. Protasov and E. Zelenyuk concerning topologies on groups determined by sequences.
Keywords
several problems of I. Protasov and E. Zelenyuk, topologies on groups, determined by sequences
DOI
doi:10.30970/ms.15.2.145-150
Reference
1. Banakh T., On topological groups containing a Fréchet-Urysohn fan, Matem. Studii 9 (1998), № 2, 149–154.

2. Graev M. I. Free topological groups, Izvestiya Akad. Nauk SSSR. Ser. Mat. 12 (1948), 279–324. (in Russian); English transl.: Topology and Topological Algebra, Translations Series 1. American Mathematical Society 8 (1962), 305–364.

3. Protasov I., Zelenyuk E. Topologies on groups determined by sequences, Monograph Series, Math. Studies. VNTL, Lviv, 1999.

4. Protasov I. V., Zelenyuk E. G. Topologies on $\mathbb Z$ determined by sequences: seven open problems, Matem. Studii 12 (1999), № 1, 111.

5. Зеленюк Е. Топологии на группах, определяемые компактами, Maт. Студії (1995), Вып. 5, 5–16.

Pages
145-150
Volume
15
Issue
2
Year
2001
Journal
Matematychni Studii
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