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.
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