%0 Generic %1 goncalves2015sliding %A Gonçalves, Daniel %A Sobottka, Marcelo %A Starling, Charles %D 2015 %K CMS %T Sliding block codes between shift spaces over infinite alphabets %U http://arxiv.org/abs/1502.06262 %X Recently Ott, Tomforde and Willis introduced a notion of one-sided shifts over infinite alphabets and proposed a definition for sliding block codes between such shift spaces. In this work we propose a more general definition for sliding block codes between Ott-Tomforde-Willis shift spaces and then we prove Curtis-Hedlund-Lyndon type theorems for them, finding sufficient and necessary conditions under which the class of the sliding block codes coincides with the class of continuous shift-commuting maps.

@misc{goncalves2015sliding, abstract = {Recently Ott, Tomforde and Willis introduced a notion of one-sided shifts over infinite alphabets and proposed a definition for sliding block codes between such shift spaces. In this work we propose a more general definition for sliding block codes between Ott-Tomforde-Willis shift spaces and then we prove Curtis-Hedlund-Lyndon type theorems for them, finding sufficient and necessary conditions under which the class of the sliding block codes coincides with the class of continuous shift-commuting maps.}, added-at = {2015-11-17T18:54:59.000+0100}, author = {Gonçalves, Daniel and Sobottka, Marcelo and Starling, Charles}, biburl = {https://www.bibsonomy.org/bibtex/27c3bd139df758e2489cf0f24a9984312/pguillon}, description = {Sliding block codes between shift spaces over infinite alphabets}, interhash = {e0d498827f1e6cb7e6c93110e7e8b508}, intrahash = {7c3bd139df758e2489cf0f24a9984312}, keywords = {CMS}, note = {cite arxiv:1502.06262Comment: 15 pages. Revised text}, timestamp = {2015-11-17T18:54:59.000+0100}, title = {Sliding block codes between shift spaces over infinite alphabets}, url = {http://arxiv.org/abs/1502.06262}, year = 2015 }