2 citations · 2 across the 9 of their papers we have counts for
6 papers · 1 filter
Internalizations of decorated bicategories via -indexings
Juan Orendain, Ruben Maldonado
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We consider structures on decorated 2-categories allowing us to formal…
Lifting bicategories through the Grothendieck construction
Juan Orendain
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We make use of a specific instance of the Grothendieck construction to…
Free Globularly Generated Double Categories II: The Canonical Double Projection
Juan Orendain
This is the second installment of a two part series of papers studying free globularly generated double categories. We introduce the canonical double projection construction. The c…
Cylinder topological quantum field theory: A categorical presentation of classical field theory and its symmetries
Juan Orendain
We use geometric ideas coming from certain classic algebraic constructions to associate, to every classical field theory, a symmetric monoidal double functor from the double catego…
Free globularily generated double categories
Juan Orendain
This is the first part of a two paper series studying free globularily generated double categories. In this first installment we introduce the free globularily generated double cat…
Internalizing decorated bicategories: The globularily generated condition
Juan Orendain
This is the first part of a series of papers studying the problem of existence of double categories for which horizontal bicategory and object category are given. We refer to this…