From wqo to bqo, via Ellentuck's theorem
type: Item
instance of: scholarly article
title: From wqo to bqo, via Ellentuck's theorem
zbMATH Open document ID: 0765.04001
DOI: 10.1016/0012-365X(92)90663-Z
author: Bernd Voigt
author: Hans Jürgen Prömel
published in: Discrete Mathematics
publication date: 1993-01-17T00:00:00Z
review text: In this expository paper, first the theory of Ramsey subsets of reals is developed via Ellentuck's definitions and ideas. Then, after the introduction of well-quasi-ordered sets, a natural definition of better quasi-order is given along with a proof of Nash-Williams theorem that transfinite sequences from a bqo set form a bqo set.
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 05D10
Mathematics Subject Classification ID: 54C05
Mathematics Subject Classification ID: 03-02
Mathematics Subject Classification ID: 54-02
zbMATH DE Number: 97490
zbMATH Keywords: topological Ramsey theory
zbMATH Keywords: Ramsey subsets of reals
zbMATH Keywords: well-quasi-ordered sets
zbMATH Keywords: better quasi-order
reviewed by: Péter Komjáth
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 97490