Space in Monoidal Categories

The category of Hilbert modules may be interpreted as a naive quantum field theory over a base space. Open subsets of the base space are recovered as idempotent subunits, which form a meet-semilattice in any firm braided monoidal category. There is an operation of restriction to an idempotent subuni...

Full description

Bibliographic Details
Main Authors: Pau Enrique Moliner, Chris Heunen, Sean Tull
Format: Article
Language:English
Published: Open Publishing Association 2018-02-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1704.08086v3