Non-Anomalous Semigroups and Real Numbers
History and Overview
2016-07-21 v1 Category Theory
Rings and Algebras
Abstract
Motivated by intuitive properties of physical quantities, the notion of a non-anomalous semigroup is formulated. These are totally ordered semigroups where there are no `infinitesimally close' elements. The real numbers are then defined as the terminal object in a closely related category. From this definition a field structure on is derived, relating multiplication to morphisms between non-anomalous semigroups.
Cite
@article{arxiv.1607.05997,
title = {Non-Anomalous Semigroups and Real Numbers},
author = {Damon Binder},
journal= {arXiv preprint arXiv:1607.05997},
year = {2016}
}
Comments
21 pages