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An infinite permutation without arithmetic progressions

✍ Scribed by A.F. Sidorenko

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
94 KB
Volume
69
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

A remark on infinite arithmetic progress
A remark on infinite arithmetic progressions
✍ H. Lefmann; B. Voigt πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 208 KB

Let Se be a countably family of in&rite subsets of nonnegative integers. Using a diagonal argumpnt it is straight forward to select for each XE& an infinite subset S(X) r~ X such that the family (S(X) 1 XE Se) is disjoint. Also, there exists a mapping A :N --, N such that for every XE & and i EN the