Countable Powers of Compact Abelian Groups in the Uniform Topology and Cardinality of Their Dual Groups
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2603-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2603-2 | ||
| 245 | 0 | 0 | |a Countable Powers of Compact Abelian Groups in the Uniform Topology and Cardinality of Their Dual Groups |h [Elektronische Daten] |c [D. Dikranjan, E. Martin-Peinador, V. Tarieladze] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Dikranjan |D D. |u Università di Udine, Udine, Italy |4 aut | |
| 700 | 1 | |a Martin-Peinador |D E. |u Universidad Complutense de Madrid, Madrid, Spain |4 aut | |
| 700 | 1 | |a Tarieladze |D V. |u N. Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University, Tbilisi, Georgia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/1(2015-11-01), 127-135 |x 1072-3374 |q 211:1<127 |1 2015 |2 211 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2603-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2603-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dikranjan |D D. |u Università di Udine, Udine, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Martin-Peinador |D E. |u Universidad Complutense de Madrid, Madrid, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tarieladze |D V. |u N. Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/1(2015-11-01), 127-135 |x 1072-3374 |q 211:1<127 |1 2015 |2 211 |o 10958 | ||