English

$\infty$-topoi and Natural Phenomena: Generation

Algebraic Geometry 2018-02-08 v1 Mathematical Physics Category Theory math.MP

Abstract

We show that the Segal topos of derived stacks over simplicial commutative kk-algebras, which can be used to model natural phenomena, has a subobject classifier, something we regard as being a source from which dynamics is generated. This is done by considering the \infty-category associated to such a Segal topos, which turns out to be an \infty-topos. At this point we have the formalism of Higher topoi at our disposal to deal with Higher Category Theory concepts in a transparent manner.

Keywords

Cite

@article{arxiv.1802.02284,
  title  = {$\infty$-topoi and Natural Phenomena: Generation},
  author = {Renaud Gauthier},
  journal= {arXiv preprint arXiv:1802.02284},
  year   = {2018}
}

Comments

16 pages

R2 v1 2026-06-23T00:14:03.760Z