ON THE INFINITARY VAN DER WAERDEN'S THEOREM

被引：0

|

作者：

Mohsenipour, Shahram ^{[1
]}

机构：

[1] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

来源：

TRANSACTIONS ON COMBINATORICS | 2024年 / 13卷 / 04期

关键词：

Arithmetic progressions; Combinatorial proofs; Infinite version;

D O I：

10.22108/toc.2023.136693.2043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a purely combinatorial proof for the infinitary van der Waerden's theorem.

引用

收藏

页码：319 / 325

页数：7

相关论文

共 50 条

[21] The van der Waerden complex
Ehrenborg, Richard
Govindaiah, Likith
Park, Peter S.
Readdy, Margaret
JOURNAL OF NUMBER THEORY, 2017, 172 : 287 - 300
[22] Van der Waerden's construction of a splitting field
Richman, F
COMMUNICATIONS IN ALGEBRA, 2006, 34 (07) : 2351 - 2356
[23] Van der Waerden rings
Remus, Dieter
Ursul, Mihail
TOPOLOGY AND ITS APPLICATIONS, 2017, 229 : 148 - 175
[24] JULIA VAN DER WAERDEN
van der Waerden, Julia
STRAD, 2019, 130 (1553): : 94 - 95
[25] Van der Waerden's function and colourings of hypergraphs
Shabanov, D. A.
IZVESTIYA MATHEMATICS, 2011, 75 (05) : 1063 - 1091
[26] Combinatorial proofs of the polynomial van der Waerden theorem and the polynomial Hales-Jewett theorem
Walters, M
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 61 : 1 - 12
[27] A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homomorphisms of locally compact groups
Shtern, A. I.
IZVESTIYA MATHEMATICS, 2008, 72 (01) : 169 - 205
[28] A NOTE ON THE VAN DER WAERDEN COMPLEX
Hooper, Becky
Van Tuyl, Adam
MATHEMATICA SCANDINAVICA, 2019, 124 (02) : 179 - 187
[29] Polynomial extensions of van der Waerden's and Szemeredi's theorems
Bergelson, V
Leibman, A
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 9 (03) : 725 - 753
[30] On generalized van der Waerden triples
Landman, B
Robertson, A
DISCRETE MATHEMATICS, 2002, 256 (1-2) : 279 - 290

← 1 2 3 4 5 →