Countable 1-transitive coloured linear orderings II

• Autorzy: G. Campero-Arena , J. K. Truss
• Języki publikacji: EN

Abstrakty

EN

This paper gives a structure theorem for the class of countable 1-transitive coloured linear orderings for a countably infinite colour set, concluding the work begun in [1]. There we gave a complete classification of these orders for finite colour sets, of which there are ℵ₁. For infinite colour sets, the details are considerably more complicated, but many features from [1] occur here too, in more marked form, principally the use (now essential it seems) of coding trees, as a means of describing the structures in our list, of which there are now $2^{ℵ₀}$.

Kategorie tematyczne

• 06A05: Total order

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 183
• Numer: 3
• Strony: 185-213

Daty

wydano

2004

Twórcy

autor

G. Campero-Arena

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, D.F. 04510, Mexico

autor

J. K. Truss

• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England

Identyfikatory

DOI

10.4064/fm183-3-1