Canonizing ordering theorems for Hales Jewett structures
type: Item
instance of: scholarly article
title: Canonizing ordering theorems for Hales Jewett structures
zbMATH Open document ID: 0582.06001
DOI: 10.1016/0097-3165(85)90098-6
author: J. Nešetřil
author: Hans Jürgen Prömel
author: Vojtěch Rödl
author: Bernd Voigt
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: Let A be a finite set and n be a positive integer. The n-dimensional cube \(A^ n\) over A is the set of all words of length n with entries from A. The authors study the natural linear orderings of \(A^ n\). They obtain a characterization theorem for these orderings extending their earlier results [Rend. Circ. Mat. Palermo, II. Ser. Suppl. 2, 193-197 (1982; Zbl 0521.06003)]. The paper contains a detailed discussion and complete proofs of results announced in a previous paper [ibid., Suppl. 3, 191-196 (1984)].
Mathematics Subject Classification ID: 06A05
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 3931069
zbMATH Keywords: n-dimensional cube
zbMATH Keywords: linear orderings
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90098-6
OpenAlex ID: W2103257972
cites work: Partitionseigenschaften endlicher affiner und projektiver Räume
cites work: Ramsey's Theorem for n-Parameter Sets
cites work: Q3903002
cites work: Q3671222
cites work: Q4168641
cites work: Q3329479
cites work: Canonical partition theorems for parameter sets
description: scientific article; zbMATH DE number 3931069