<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

Published Online: Feb 25, 2017

Page range: 47 - 53

Received: Jul 29, 2016

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

Keywords
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

Published Online: Feb 25, 2017

Page range: 47 - 53

Received: Jul 29, 2016

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

KeywordsCantor 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.

Keywords
Cantor sets, Ana sets, thickness, sums of sets