An analogue to infinitery Hales-Jewett theorem
Combinatorics
2020-12-09 v1
Abstract
In a recent work, N. Hindman, D. Strauss and L. Zamboni have shown that the Hales-Jewett theorem can be combined with a sufficiently well behaved homomorphisms. In this paper we will show that those combined extensions can be made if we replace the alphabet by an increasing sequence of alphabets, infact it holds for some Ramsey theoretic small sets. To obtained this we achieved some interesting configurations.
Keywords
Cite
@article{arxiv.2012.03934,
title = {An analogue to infinitery Hales-Jewett theorem},
author = {Aninda Chakraborty and Sayan Goswami},
journal= {arXiv preprint arXiv:2012.03934},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2009.00772