◍wovepaper
SearchResearchersInstitutions
Sign in
math.CTOct 1, 2011
25
citations (OpenAlex)
authors
  • Boris Chorny
  • Jiri Rosicky
institutions
  • Masaryk University
  • University of Haifa
arXiv abstractPDF
paper

Locally class-presentable and class-accessible categories

arXiv:1110.0605 · doi:10.1016/j.jpaa.2012.01.015

Abstract

We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. This generalization is intended for applications in the abstract homotopy theory.

References in corpus (1)

  • Calculus of functors and model categories II

Cited by in corpus (13)

  • The accessibility rank of weak equivalences
  • Flat comodules and contramodules as directed colimits, and cotorsion periodicity
  • Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity
  • Duality and small functors
  • Homotopy theory of relative simplicial presheaves
  • Enriched Locally Generated Categories
  • Accessible images revisited
  • Exponentiable Grothendieck categories in flat Algebraic Geometry
  • Resolutions as directed colimits
  • Quillen-Segal objects and structures: an overview
  • A classification of small linear functors
  • Cellular objects and Shelah's singular compactness theorem
  • The categories of corings and coalgebras over a ring are locally countably presentable
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.