Coherence in Substructural Categories
Category Theory
2007-05-23 v1
Abstract
It is proved that MacLane's coherence results for monoidal and symmetric monoidal categories can be extended to some other categories with multiplication; namely, to relevant, affine and cartesian categories. All results are formulated in terms of natural transformations equipped with ``graphs'' (g-natural transformations), and corresponding morphism theorems are given as consequences. Using these results, some basic relations between the free categories of these classes are obtained.
Cite
@article{arxiv.math/0006061,
title = {Coherence in Substructural Categories},
author = {Z. Petric},
journal= {arXiv preprint arXiv:math/0006061},
year = {2007}
}
Comments
19 pages