19 citations · 95 across the 17 of their papers we have counts for
4 papers · 2 filters
Inverse semigroup shifts over countable alphabets
Daniel Gonçalves, Marcelo Sobottka, Charles Starling
In this work we characterize shift spaces over infinite countable alphabets that can be endowed with an inverse semigroup operation. We give sufficient conditions under which zero-…
A note on the definition of sliding block codes and the Curtis-Hedlund-Lyndon Theorem
Marcelo Sobottka, Daniel Gonçalves
In this note we propose an alternative definition for sliding block codes between shift spaces. This definition coincides with the usual definition in the case that the shift space…
Two-sided shift spaces over infinite alphabets
Daniel Gonçalves, Marcelo Sobottka, Charles Starling
Ott, Tomforde, and Willis proposed a useful compactification for one-sided shifts over infinite alphabets. Building from their idea we develop a notion of two-sided shift spaces ov…
Sliding block codes between shift spaces over infinite alphabets
Daniel Gonçalves, Marcelo Sobottka, Charles Starling
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 th…