The Fixed Point Property for Posets of Small Width
Combinatorics
2007-05-23 v1
Abstract
The fixed point property for finite posets of width 3 and 4 is studied in terms of forbidden retracts. The ranked forbidden retracts for width 3 and 4 are determined explicitly. The ranked forbidden retracts for the width 3 case that are linearly indecomposable are examined to see which are minimal automorphic. Part of a problem of Niederle from 1989 is thus solved.
Cite
@article{arxiv.math/9804146,
title = {The Fixed Point Property for Posets of Small Width},
author = {Jonathan David Farley},
journal= {arXiv preprint arXiv:math/9804146},
year = {2007}
}