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Fundamenta Mathematicae

2004 | 183 | 3 | 185-213

Countable 1-transitive coloured linear orderings II

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 $2^{ℵ₀}$.

185-213

wydano
2004

Twórcy

autor
• Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, D.F. 04510, Mexico
autor
• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England