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/