Click here to flash read.
arXiv:2403.18102v1 Announce Type: new
Abstract: In this article, we characterize convexity in terms of algebras over a PROP, and establish a tensor-product-like symmetric monoidal structure on the category of convex sets. Using these two structures, and the theory of $\scr{O}$-monoidal categories, we state and prove a Grothendieck construction for lax $\scr{O}$-monoidal functors into convex sets. We apply this construction to the categorical characterization of entropy of Baez, Fritz, and Leinster, and to the study of quantum contextuality in the framework of simplicial distributions.
Click here to read this post out
ID: 806877; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: March 28, 2024, 7:32 a.m.
Changes:
Dictionaries:
Words:
Spaces:
Views: 15
CC:
No creative common's license
No creative common's license
Comments: