English

Local fibered right adjoints are polynomial

Category Theory 2014-07-15 v2

Abstract

For any locally cartesian closed category E, we prove that a local fibered right adjoint between slices of E is given by a polynomial. The slices in question are taken in a well known fibered sense.

Cite

@article{arxiv.1005.4236,
  title  = {Local fibered right adjoints are polynomial},
  author = {Anders Kock and Joachim Kock},
  journal= {arXiv preprint arXiv:1005.4236},
  year   = {2014}
}

Comments

15 pages, LaTeX; final version (v2), to appear in Math. Struct. Comp. Sci

R2 v1 2026-06-21T15:26:46.280Z