F. Abellán

activity

20222026

most citedStraightening for lax transformations and adjunctions of

(\infty, 2)

-categories

1 citations · 1 across the 7 of their papers we have counts for

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math.AT2026

Free bifibrations of $(\infty, 2)$ -categories, 2-simplicial objects and the walking adjunction

Fernando Abellán

In this work, we develop a fibrational approach to freely adjoining adjoints in an $(\infty, 2)$ -category. We construct the universal bifibration obtained from a cocartesian fibrati…

math.AT2023

On local fibrations of $(\infty, 2)$ -categories

F. Abellán

In this work we provide a model-independent notion of local fibrations of $(\infty, 2)$ -categories which generalises the well-known theory of locally coCartesian fibrations of $(\in…

math.AT2022

2-Cartesian fibrations II: A Grothendieck construction for $\infty$ -bicategories

Fernando Abellán, Walker H. Stern

In this work, we conclude our study of fibred $\infty$ -bicategories by providing a Grothendieck construction in this setting. Given a scaled simplicial set $S$ (which need not be f…

Free bifibrations of (∞,2)-categories, 2-simplicial objects and the walking adjunction

On local fibrations of (∞,2)-categories

2-Cartesian fibrations II: A Grothendieck construction for ∞-bicategories

Free bifibrations of $(\infty, 2)$ -categories, 2-simplicial objects and the walking adjunction

On local fibrations of $(\infty, 2)$ -categories

2-Cartesian fibrations II: A Grothendieck construction for $\infty$ -bicategories