Lecture
Limits and Colimits: Understanding Categories
Related lectures (93)
Limits and colimits in Top
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Acyclic Models: Cup Product and Cohomology
Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
Active Learning Session: Group Theory
Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.
Homotopical Algebra: (Co)Limits
Explores the concept of (co)limits in homotopical algebra, discussing functor relations, special cases, and the universal properties of colimits and limits.
Homotopy theory of chain complexes
Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.
Introduction to Model Categories
Explores lifting properties and model categories in topological spaces.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Categories and Functors
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.