We study structural and fractal properties of the Guthrie-Nymann's Cantorval $X$ and some of its generalizations. As a result, we exhibit that $X$ can be represented as a union of closed intervals $X_I$ having Lebesgue measure $1$ and a Cantor set $X_C$ with zero Lebesgue measure and fractional Hausdorff dimension equal to $\log3/\log4$. Moreover, we also study topological type of the set of subsums for a convergent positive series connected with multigeometric sequences.
Meeting ID: 852 4277 3200 Passcode: 103121