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- LECTURE 13: REPRESENTABLE FUNCTORS and the BROWN REPRESENTABILITY THEOREM 1. Representable Functors Let C Be a Category. a Funct
- The Homotopy Categories of Injective Modules of Derived Discrete Algebras
- Rational Homotopy Theory
- Adjoint Functor Theorems for $\Infty $-Categories
- Model Categories Mark Hovey
- Higher Galois Theory
- The Structure of Stable Homotopy Theories
- Categorical Homotopy Theory Emily Riehl
- What Are Spectra? a Poor Man’S Attempt to Learn Stable Homotopy Theory
- Fibration Categories Are Fibrant Relative Categories
- The Homotopy Category of Injectives Amnon Neeman
- Derived Categories Part I
- The Icosahedral Group and the Homotopy of the Stable Mapping Class Group
- Rational Homotopy Theory for Non-Simply Connected Spaces
- GENERALIZED BROWN REPRESENTABILITY in HOMOTOPY CATEGORIES 1. Introduction
- Classes of Maps of a Suspension, Modulothe Poles, Into a Space With
- Derived Categories from a Topological Point of View
- Derived Categories
- Model Categories in Equivariant Rational Homotopy Theory
- Categorical Representations of the Modular Group
- Pointed Spaces
- COHOMOLOGY of SMALL CATEGORIES Hans-Joachim
- Homotopy in Model Categories
- Stable Homotopy Theory
- Rational S1-Equivariant Homotopy Theory
- Realizability Toposes As Homotopy Categories
- The Mock Homotopy Category of Projectives and Grothendieck Duality
- Homotopy Theory 7.1. Closed Model Categories. We Begin with Quillen's
- Adjoint Functors on the Derived Category of Motives
- FIBRATIONS in ∞-CATEGORY THEORY Contents 1. Left, Right, and Kan Fibrations 2 2. Inner Fibrations and Isofibrations 5 3. Coca
- Basic Homotopy Theory Review
- LECTURE 7: MODEL CATEGORIES, II We Begin by Covering Some More
- Category Theory from Scratch
- Localization, Universal Properties, and Homotopy Theory
- Homotopy Theory
- Mapping Class Groups
- Rational Homotopy Theory Author(S): Daniel Quillen Source: Annals of Mathematics, Second Series, Vol
- Homotopical Algebraic Geometry. I. Topos Theory. Bertrand Toen, Gabriele Vezzosi
- Formality and Rational Homotopy Theory of Relative Homotopy
- Definability and Approximations in Triangulated Categories
- On the Brown Representability Theorem for Triangulated Categories
- LECTURE 1: OVERVIEW One of the Principal Aims of Algebraic Topology
- Homotopy in Functor Categories by Alex Heller
- Locally Well Generated Homotopy Categories of Complexes
- Higher Topoi and Hypercoverings
- Model Categories, 1999 62 Vladimir I
- The Derived Category of an Exact Category
- Review of Model Categories
- The Stable Homotopy Category
- Derived Categories, Resolutions, and Brown Representability
- Brown Representability and Spaces Over a Category
- Lecture 19: Abstract Homotopy Theory
- Brown Representability Follows from Rosick´Y
- ARE ALL LOCALIZING SUBCATEGORIES of STABLE HOMOTOPY CATEGORIES COREFLECTIVE? Introduction the Main Purpose of This Article Is To