English

Weak fiber products in a bicategory of fractions

Category Theory 2014-12-11 v1

Abstract

We fix any pair (C,W)(\mathbf{\mathscr{C}},\mathbf{W}) consisting of a bicategory and a class of morphisms in it, admitting a bicalculus of fractions, i.e. a "localization" of C\mathbf{\mathscr{C}} with respect to the class W\mathbf{W}. In the resulting bicategory of fractions, we identify necessary and sufficient conditions for the existence of weak fiber products.

Keywords

Cite

@article{arxiv.1412.3295,
  title  = {Weak fiber products in a bicategory of fractions},
  author = {Matteo Tommasini},
  journal= {arXiv preprint arXiv:1412.3295},
  year   = {2014}
}