Cyclic theories
Olivia Caramello, Nicholas Wentzlaff
TL;DR
This paper explores geometric theories classified by various topoi, including the Connes-Consani epicyclic topos, the cyclic topos, and a topos involving natural numbers, revealing their interrelations.
Contribution
It introduces and classifies new geometric theories associated with different topoi, expanding understanding of their structural relationships.
Findings
Classification of theories by the Connes-Consani epicyclic topos
Identification of theories classified by the cyclic topos
Analysis of theories related to the topos [{ extbackslash}mathbb N^{ extasteriskcentered}, Set]
Abstract
We describe a geometric theory classified by Connes-Consani's epicylic topos and two related theories respectively classified by the cyclic topos and by the topos .
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory · Rings, Modules, and Algebras