<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Sums of Golden Ana Sets

Department of Mathematics, Lamar University, P.O. Box 10047, Beaumont, TX 77710,

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Sums of Golden Ana Sets"}

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...

Sums of Golden Ana Sets

Publié en ligne: 25 févr. 2017

Pages: 47 - 53

Reçu: 29 juil. 2016

DOI: https://doi.org/10.1515/tmmp-2016-0029

Mots clés
Cantor sets, Ana sets, thickness, sums of sets

© 2016 Robert W. Vallin, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Sums of Golden Ana Sets

Publié en ligne: 25 févr. 2017

Pages: 47 - 53

Reçu: 29 juil. 2016

DOI: https://doi.org/10.1515/tmmp-2016-0029

Mots clésCantor sets, Ana sets, thickness, sums of sets

© 2016 Robert W. Vallin, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Cantor sets, Ana sets, thickness, sums of sets