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Lecture
Review of Simplicial Sets
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Related lectures (32)
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Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Functor Categories: (Co)Limits and Simplicial Sets
Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.
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.
Natural Examples of Simplicial Sets
Introduces two fundamental examples of simplicial sets: the nerve of a small category and the singular simplicial set of a topological space.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Limits and colimits as adjoints: Chapter 1(c)
Explores the characterization of limits and colimits as adjoints in category theory.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Categories and Functors
Explores building categories from graphs and the encoding of information by functors.
