Characterization of hereditarily reversible posets
Combinatorics
2013-05-23 v1 General Topology
Abstract
A poset P is called reversible if every order preserving bijective self map of P is an order automorphism. P is called hereditarily reversible if every subposet of P is reversible. We give a complete characterization of hereditarily reversible posets in terms of forbidden subsets. A similar result is stated also for preordered sets. As a corollary we extend the list of known examples of hereditarily reversible topological spaces.
Keywords
Cite
@article{arxiv.1305.5085,
title = {Characterization of hereditarily reversible posets},
author = {Michał Kukieła},
journal= {arXiv preprint arXiv:1305.5085},
year = {2013}
}
Comments
6 pages, 1 figure