Beyond Initial Algebras and Final Coalgebras
Category Theory
2023-03-06 v1 Logic in Computer Science
Abstract
We provide a construction of the fixed points of functors which may not be inital algebras or final coalgebras. For an endofunctor F, this fixed point construction may be expressed as a pair of adjoint functors between F-coalgebras and F-algebras. We prove a version of the limit colimit coincidence theorem for these generalized fixed points.
Cite
@article{arxiv.2303.02065,
title = {Beyond Initial Algebras and Final Coalgebras},
author = {Ezra Schoen and Jade Master and Clemens Kupke},
journal= {arXiv preprint arXiv:2303.02065},
year = {2023}
}
Comments
Extended Abstract