English

Dualizing cartesian and cocartesian fibrations

Category Theory 2014-09-09 v1 Algebraic Topology

Abstract

In this technical note, we proffer a very explicit construction of the "dual cocartesian fibration" pp^{\vee} of a cartesian fibration pp, and we show they are classified by the same functor to Cat\mathbf{Cat}_{\infty}.

Keywords

Cite

@article{arxiv.1409.2165,
  title  = {Dualizing cartesian and cocartesian fibrations},
  author = {Clark Barwick and Saul Glasman and Denis Nardin},
  journal= {arXiv preprint arXiv:1409.2165},
  year   = {2014}
}

Comments

19 pages. Comments always welcome

R2 v1 2026-06-22T05:50:44.177Z