Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression

Details Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression

2009-11-23

arxiv.org/abs/0911.4415v1

Mathematics

General Mathematics

Scientific paper

We prove that for any partition of a set which contains an infinite
arithmetic (respectively geometric) progression into two disjoint subsets, at
least one of these subsets contains an infinite number of triplets such that
each triplet is an arithmetic (respectively geometric) progression.

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