Sets of natural numbers with no minimal asymptotic bases
P. Erdös, Melvyn B. Nathanson · Proceedings of the American Mathematical Society · 1978
The set A of natural numbers is an asymptotic basis for S if the sets S and 2 A eventually coincide. An asymptotic basis A for S is minimal if no proper subset of A is a basis for S . Sets S are constructed which possess infinitely many asymptotic bases, but no minimal asymptotic basis.