De Morgan's law and the theory of fields
Category Theory
2013-04-26 v1 Logic
Abstract
We show that the classifying topos for the theory of fields does not satisfy De Morgan's law, and we identify its largest dense De Morgan subtopos as the classifying topos for the theory of fields of nonzero characteristic which are algebraic over their prime fields.
Keywords
Cite
@article{arxiv.0808.1972,
title = {De Morgan's law and the theory of fields},
author = {Olivia Caramello and Peter Johnstone},
journal= {arXiv preprint arXiv:0808.1972},
year = {2013}
}