Concept
Limit (category theory)
Related lectures (66)
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
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.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Homotopy Identification
Delves into homotopy identification, pushout diagrams, colimits, and group fundamental calculations.
Limits and colimits: Two examples
Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.
Functor Categories: (Co)Limits and Simplicial Sets
Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.
Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.