English

A Geometry of Multimodal Systems

Category Theory 2015-08-11 v1

Abstract

Multimodal normal incestual systems are investigated in terms of multiple categories. The different sorted composition of operators are exhibited as 2-cells in multiple categories built up from 2-categories giving rise to different axioms. Subsequently, coherence results are proved pointing the connections with (usual and mixed) Distributive Laws. This is given as a geometrical description of certain axioms inside various systems with a number of necessity and possibility operators.

Keywords

Cite

@article{arxiv.1508.01931,
  title  = {A Geometry of Multimodal Systems},
  author = {Joaquín Díaz Boils},
  journal= {arXiv preprint arXiv:1508.01931},
  year   = {2015}
}

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R2 v1 2026-06-22T10:29:11.207Z