Combinatorics of factorization systems on lattices
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912300297879552 |
|---|---|
| author | Bose, Jishnu Chih, Tien Housden, Hannah Jones II, Legrand Lewis, Chloe Ormsby, Kyle Rose, Millie |
| author_facet | Bose, Jishnu Chih, Tien Housden, Hannah Jones II, Legrand Lewis, Chloe Ormsby, Kyle Rose, Millie |
| contents | We initiate the combinatorial study of factorization systems on finite lattices, paying special attention to the role that reflective and coreflective factorization systems play in partitioning the poset of factorization systems on a fixed lattice. We ultimately uncover an intricate web of relations with such diverse combinatorial structures as submonoids, monads, Moore systems, transfer systems (from stable equivariant homotopy theory), and poly-Bernoulli numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22883 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combinatorics of factorization systems on lattices Bose, Jishnu Chih, Tien Housden, Hannah Jones II, Legrand Lewis, Chloe Ormsby, Kyle Rose, Millie Combinatorics Algebraic Topology Category Theory 18A32, 06B05, 55P91 We initiate the combinatorial study of factorization systems on finite lattices, paying special attention to the role that reflective and coreflective factorization systems play in partitioning the poset of factorization systems on a fixed lattice. We ultimately uncover an intricate web of relations with such diverse combinatorial structures as submonoids, monads, Moore systems, transfer systems (from stable equivariant homotopy theory), and poly-Bernoulli numbers. |
| title | Combinatorics of factorization systems on lattices |
| topic | Combinatorics Algebraic Topology Category Theory 18A32, 06B05, 55P91 |
| url | https://arxiv.org/abs/2503.22883 |