caa a22 4500 605523045 CHVBK 20210128100747.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2603-2 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2603-2 Countable Powers of Compact Abelian Groups in the Uniform Topology and Cardinality of Their Dual Groups [Elektronische Daten] [D. Dikranjan, E. Martin-Peinador, V. Tarieladze] For a topological Abelian group X, we consider in the group X ℕ the uniform topology and study some properties of the obtained topological group. In particular, we show, that if X = S $$ X\kern0.5em =\kern0.5em \mathbb{S} $$ is the circle group, then the group S ℕ $$ {\mathbb{S}}^{\mathbb{N}} $$ endowed with the uniform topology has the dual group of cardinality 2c. Springer Science+Business Media New York, 2015 Dikranjan D. Università di Udine, Udine, Italy aut Martin-Peinador E. Universidad Complutense de Madrid, Madrid, Spain aut Tarieladze V. N. Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University, Tbilisi, Georgia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/1(2015-11-01), 127-135 1072-3374 211:1<127 2015 211 10958 https://doi.org/10.1007/s10958-015-2603-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2603-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dikranjan D. Università di Udine, Udine, Italy aut NATIONALLICENCE 700 1- Martin-Peinador E. Universidad Complutense de Madrid, Madrid, Spain aut NATIONALLICENCE 700 1- Tarieladze V. N. Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/1(2015-11-01), 127-135 1072-3374 211:1<127 2015 211 10958