Autor:	Robertson, Aaron
Rok vydání:	2017
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	This article documents my journey down the rabbit hole, chasing what I have come to know as a particularly unyielding problem in Ramsey theory on the integers: the $2$-Large Conjecture. This conjecture states that if $D \subseteq \mathbb{Z}^+$ has the property that every $2$-coloring of $\mathbb{Z}^+$ admits arbitrarily long monochromatic arithmetic progressions with common difference from $D$ then the same property holds for any finite number of colors. We hope to provide a roadmap for future researchers and also provide some new results related to the $2$-Large Conjecture. Comment: Revised Theorem 18
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.07303 Zobrazit plný text záznamu View this record from Arxiv