All Stories

  1. Categorical Homotopy Theory
  2. A sampling of 2-categorical aspects of quasi-category theory
  3. Glossary of Notation
  4. Preface
  5. Derived enrichment
  6. Bibliography
  7. All concepts are Kan extensions
  8. Derived functors via deformations
  9. Basic concepts of enriched category theory
  10. The unreasonably effective (co)bar construction
  11. Homotopy limits and colimits: The theory
  12. Homotopy limits and colimits: The practice
  13. Weighted limits and colimits
  14. Categorical tools for homotopy (co)limit computations
  15. Weighted homotopy limits and colimits
  16. Weak factorization systems in model categories
  17. Algebraic perspectives on the small object argument
  18. Enriched factorizations and enriched lifting properties
  19. A brief tour of Reedy category theory
  20. Preliminaries on quasi-categories
  21. Isomorphisms in quasi-categories
  22. Simplicial categories and homotopy coherence
  23. Cyclic multicategories, multivariable adjunctions and mates
  24. Coalgebraic models for combinatorial model categories
  25. Monoidal algebraic model structures
  26. On the construction of functorial factorizations for model categories
  27. Levels in the toposes of simplicial sets and cubical sets
  28. On the structure of simplicial categories associated to quasi-categories
  29. A sharp bound for the degree of proper monomial mappings between balls
  30. On the intersections of polynomials and the Cayley–Bacharach theorem