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Related lectures (22)
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Functor Categories: (Co)Limits and Simplicial Sets
Explores (co)limits in functor categories and simplicial sets, including equalizers and coequalizers of simplicial maps.
Adjunctions, Products, and Coproducts
Discusses adjunctions, products, and coproducts in category theory.
An Introduction to Category Theory: Products and Coproducts
Demonstrates how adjoints preserve coproducts and products in category theory.
Group Quotients: Push-out Uniqueness
Explores the uniqueness of push-outs in group quotients, focusing on specific cases and implications.
Left Adjoint Preserves Coproducts
Explores how left adjoints preserve coproducts in category theory with detailed proofs and morphism diagrams.
Limits and Colimits: Equalizers and Coequalizers
Covers limits and colimits, focusing on equalizers and coequalizers in category theory.
Direct Sums of Abelian Groups
Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.
Push-out: Categorical Perspective on Quotients
Explores the concept of push-out in group homomorphisms.
Homotopical Algebra: Examples and Adjunctions
Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.
From Lattice Products to Tarski's Fixedpoint Theorem
Covers the combination of lattice elements, partial orders, complete lattices, and Tarski's Fixed Point theorem.