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