Descent for internal multicategory functors

Type: Article

Publication Date: 2023-01-17

Citations: 3

DOI: https://doi.org/10.1007/s10485-022-09706-9

Abstract

Abstract We give sufficient conditions for effective descent in categories of (generalized) internal multicategories. Two approaches to study effective descent morphisms are pursued. The first one relies on establishing the category of internal multicategories as an equalizer of categories of diagrams. The second approach extends the techniques developed by Ivan Le Creurer in his study of descent for internal essentially algebraic structures.

Locations

  • Applied Categorical Structures - View - PDF
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ Descent for internal multicategory functors 2021 Rui Prezado
Fernando Lucatelli Nunes
+ On effective descent $\mathcal V$-functors and familial descent morphisms 2023 Rui Prezado
+ Descent theory of locally internal categories 2000 Renato Betti
+ On effective descent <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">V</mml:mi></mml:math>-functors and familial descent morphisms 2024 Rui Prezado
+ PDF Chat Functors Preserving Effective Descent Morphisms 2024 Fernando Lucatelli Nunes
Rui Prezado
+ PDF Chat A note on descent for coalgebras 2016 Maurice Kianpi
C. Nkuimi-Jugnia
+ Internal categories and crossed modules 1982 Timothy Porter
+ PDF Chat Descent for semiorthogonal decompositions 2021 Benjamin Antieau
Elden Elmanto
+ Descent for semiorthogonal decompositions 2019 Benjamin Antieau
Elden Elmanto
+ Descent for semiorthogonal decompositions 2019 Benjamin Antieau
Elden Elmanto
+ PDF Chat Descent in categories of (co)algebras 2005 Bachuki Mesablishvili
+ Cartan-Eilenberg categories and descent categories 2009 Pere Pascual Gainza
+ Generalized multicategories: change-of-base, embedding, and descent 2023 Rui Prezado
Fernando Lucatelli Nunes
+ PDF Chat Effective Descent Morphisms in Categories of Lax Algebras 2004 Maria Manuel Clementino
Dirk Hofmann
+ Adding directed colimits to a subcategory 1969 Myles Tierney
+ PDF Chat Subdirect representations of categories of modules 2009 Alberto Facchini
+ Internal Homs via extensions of dg functors 2013 Alberto Canonaco
Paolo Stellari
+ PDF Chat Some aspects of descent theory and applications 2025 Rui Prezado
+ Remarks on subdirect representations in categories 1978 Jiří Vinárek
+ Pseudo-Kan Extensions and Descent Theory 2016 Fernando Lucatelli Nunes