Unifom chains of small transfinite rank
Combinatorics
2007-05-23 v2
Abstract
We extend F.Pastjin's construction of uniform decomposable chains of finite rank to those of rank 'finite over a limit' and investigate infinite products and unions of such chains. We derive an extension of Pastjin's characterisation to uniform decomposable chains of small transfinite rank (less than or equal to 'omega+omega'). We conclude by indicating how the resulting descriptions can be iterated to chains of rank 'omega to the omega', and beyond.
Keywords
Cite
@article{arxiv.math/0312484,
title = {Unifom chains of small transfinite rank},
author = {F. P. Weber and R. M. Vollmer},
journal= {arXiv preprint arXiv:math/0312484},
year = {2007}
}
Comments
71 pages