Surjectively rigid chains
Logic
2018-12-24 v1
Abstract
We study rigidity properties of linearly ordered sets (chains) under automorphisms, order-embeddings, epimorphisms, and endomorphisms. We focus on two main cases, dense subchains of the real numbers, and uncountable dense chains of higher (regular) cardinalities. We also give a Fraenkel-Mostowski model which illustrates the role of the axiom of choice in one of the key proofs.
Cite
@article{arxiv.1812.09155,
title = {Surjectively rigid chains},
author = {Mayra Montalvo-Ballesteros John Truss},
journal= {arXiv preprint arXiv:1812.09155},
year = {2018}
}