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arXiv · 1812.09155

Surjectively rigid chains

Mayra Montalvo-Ballesteros John Truss
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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.

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Mayra Montalvo-Ballesteros John Truss. 2018-12-21. Surjectively rigid chains. https://arxiv.org/abs/1812.09155

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