$\infty$-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 -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 -category associated to such a Segal topos, which turns out to be an -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