It is well-known that despite being a small set in the unit interval, the sum of a Cantor set and itself is the interval $[0,2]$. In this paper we look for an analogous result on a different small set, the Golden Ana set.
@article{439,
title = {Sums of Golden Ana Sets},
journal = {Tatra Mountains Mathematical Publications},
volume = {65},
year = {2016},
doi = {10.2478/tatra.v67i0.439},
language = {EN},
url = {http://dml.mathdoc.fr/item/439}
}
Vallin, Robert W. Sums of Golden Ana Sets. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v67i0.439. http://gdmltest.u-ga.fr/item/439/