Concept

Functor represented by a scheme

Related lectures (47)
Geometric realization: Simplicial sets
Covers the construction of a left adjoint to the singular set functor, comparing the homotopy theory of topological spaces with that of simplicial sets.
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Functors: Categories, Functors, and Natural Transformations
Introduces functors, including identity and forgetful functors, and explores duality functors.
Introduction to Derived Functors: Left and Right Derived Functors
Introduces left and right derived functors in homotopical algebra, emphasizing their uniqueness and providing an illustrative example.
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.
Static Nonlinearity Analysis
Explores static nonlinearity analysis, focusing on equivalent gain and signal approximation.
Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

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