条件收敛级数的成就集
Achievement sets of conditionally convergent series
摘要:
考虑到级数的子和集(或成就集),我们证明了条件收敛级数的多维情形比实直线情形复杂得多。虽然我们是远离完整的拓扑分类等集,我们提出了许多令人惊讶的例子,并抓住他们背后的思想一般定理。
英文摘要:
Considering the sets of subsums of series (or achievement sets) we show that for conditionally convergent series the multidimensional case is much more complicated than that of the real line. Although we are far from the full topological classification of such sets, we present many surprising examples and catch the ideas standing behind them in general theorems.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。