Abstract
AbstractThe main result is that the celebrated Guthrie–Nymann’s Cantorval has comeager set of uniqueness. On the other hand many other Cantorvals have meager set of uniqueness.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
Reference26 articles.
1. Anisca, R., Chlebovec, C.: On the structure of arithmetic sums of Cantor sets with constant ratios of dissection. Nonlinearity 22(9), 2127–2140 (2009)
2. Banakh, T., Bartoszewicz, A., Filipczak, M., Szymonik, E.: Topological and measure properties of some self-similar sets. Topol. Methods Nonlinear Anal. 46(2), 1013–1028 (2015)
3. Banakh, T., Bartoszewicz, A., Gła̧b, S., Szymonik, E.: Algebraic and topological properties of some sets in $$\ell _1$$. Colloq. Math 129, 75–85 (2012)
4. Bartoszewicz, A., Filipczak, M., Gła̧b, S., Prus-Wiśniowski, F., Swaczyna, J.: On generating regular Cantorvals connected with geometric Cantor sets. Chaos Solitons Fractals 114, 468–473 (2018)
5. Bartoszewicz, A., Filipczak, M., Prus-Wiśniowski, F.: Topological and algebraic aspects of subsums of series. Traditional and present-day topics in real analysis, 345–366, Faculty of Mathematics and Computer Science. University of Łódź, Łódź, 2013
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献