Locally Presentable And Accessible Categories

2016

729 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ac4f0b436a7daf6f9f1db0e1be4b6ddf166776be

Citations in the corpus

• Six model structures for DG-modules over DGAs: model category theory in homological action (2013, background): “ee n is identified with Sn and is the boundary of Dn+1. We write Sn R = R⊗Sn and Dn+1 R = R ⊗Dn+1. We define I to be the chain complex with one basis element [I] in degree 1, two basis elements [0] and [1] in degrees 0, and differential d([I]) = [0] −[1]. A SIX MODEL STRUCTURES FOR DG-MODULES OVER DGAS”
• Tensor categorical foundations of algebraic geometry (2014, methodology): “We refer to [AR94] for the theory of locally λpresentable categories .”
• Deriving Auslander's formula (2014, background): “(2) Let Y ∈ Y and observe that HomK(A)(−, Y [1]) = Ext(1)C(A)(−, Y ).”
• Abelian right perpendicular subcategories in module categories (2017, background): “Following [1], we understand the terms such as “κ-presentable”, “κ-accessible”, “κ-generated”, etc.”