English

Calculus of extensive quantities

Category Theory 2011-05-18 v1

Abstract

We show how a commutative monad gives rise to a theory of extensive quantities, including (under suitable further conditions) a differential calculus of such. The relationship to Schwartz distributions is dicussed. The paper is a companion to the author's "Monads and extensive quantities", but is phrased in more elementary terms.

Keywords

Cite

@article{arxiv.1105.3405,
  title  = {Calculus of extensive quantities},
  author = {Anders Kock},
  journal= {arXiv preprint arXiv:1105.3405},
  year   = {2011}
}

Comments

21 pages

R2 v1 2026-06-21T18:08:36.764Z