Cohomology of small Cartesian closed categories
We show the isomorphism between the Quillen cohomology and the Baues-Wirsching cohomology of a cartesian closed category (CCC). This is an extension of the results of Dwyer-Kan for small categories and Jibladze-Pirashvili for small categories with finite products. These results implies that The Quillen cohomology of a CCC C coincides with that of C as a category with finite products, and also that of C as a small category.
Authors
- Mirai Ikebuchi
Institutions
- Kyoto University (JP)
Publication Details
- Journal
- Journal of Pure and Applied Algebra
- Published
- 2026-03-13
- DOI
- https://doi.org/10.1016/j.jpaa.2026.108227
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00