Solution of a general version of Armacost's problem on topologically torsion elements
| Autor: | Pratulananda Das, A. Ghosh |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Acta Mathematica Hungarica. 164:243-264 |
| ISSN: | 1588-2632 0236-5294 |
| DOI: | 10.1007/s10474-021-01142-w |
| Popis: | We consider an extended version of Armacost’s problem of “description of topologically torsion elements” of the circle group and describe topologically $$s$$ -torsion and topologically $$\alpha$$ -torsion elements (which form the statistically characterized subgroups and $$\alpha$$ -statistically characterized subgroups, recently developed in [16], [14] respectively) in terms of the support. Our main result Theorem 2.1 provides the answers to the open problems Problem 6.10 [16] and Problem 2.14 [14] (which was partially answered only for the sequence $$(2^n)$$ in [13]). |
| Databáze: | OpenAIRE |
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