Asymptotic nonbases which are not subsets of maximal asymptotic nonbases
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- by Julien Hennefeld
- Proc. Amer. Math. Soc. 62 (1977), 23-24
- DOI: https://doi.org/10.1090/S0002-9939-1977-0506141-X
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Abstract:
Let A be a set of positive integers. If all but a finite number of the positive integers can be written as a sum of h elements of A, then A is called an asymptotic basis of order h. Otherwise, A is called an asymptotic nonbasis of order h. For each $h \geqslant 2$, we construct an asymptotic nonbasis of order h which is not a subset of a maximal asymptotic nonbasis of order h.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 23-24
- MSC: Primary 10L05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0506141-X
- MathSciNet review: 0506141