nLab Luca Mesiti

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Selected writings

On aspects of the 2-Grothendieck construction:

• Luca Mesiti, The 2-Set-enriched Grothendieck construction and the lax normal conical 2-limits [arXiv:2302.04566]

A 2-comonad characterizing Grothendieck fibrations:

• Jacopo Emmenegger, Luca Mesiti, Giuseppe Rosolini, Thomas Streicher, A comonad for Grothendieck fibrations [arXiv:2305.01474]

On 2-colimits in slide 2-categories:

• Luca Mesiti, Colimits in 2-dimensional slices [arXiv:2305.01494]

On the indexed Grothendieck construction:

• Elena Caviglia, Luca Mesiti, Indexed Grothendieck construction [arXiv:2307.16076]

Discussion of 2-classifiers for 2-toposes/2-categorical logic:

• Luca Mesiti: Pointwise Kan extensions along 2-fibrations and the 2-category of elements, Theory and Applications of Categories 41 30 960–994 (2024) [arXiv:2302.04566, doi:10.70930/tac/b9u5z003]

  (via a 2-Grothendieck construction)

• Luca Mesiti: 2-classifiers via dense generators and Hofmann-Streicher universe in stacks, Canadian Journal of Mathematics (2025) 1-52 [arXiv:2401.16900, doi:10.4153/S0008414X24000865]

Related entries

• marked 2-limit

category: people