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Lecture# MATH-436: Chapter 1(b): Adjunctions

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Ep 4: Theory, part 1

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Instructors (1)

Related concepts (19)

Homotopy category of chain complexes

In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between

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Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundation

Adjoint functors

In mathematics, specifically , adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories. Two functors that s

Adjoint

In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically some formula of the type
:(Ax, y) = (x, By).

Category (mathematics)

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Lectures in same course (49)

Chapter 1(a): Categories, Functors, and Natural Transformations

Ep 1: Categories

Chapter 1(a): Categories, Functors, and Natural Transformations

Ep 3: Natural transformations

Chapter 1(b): Adjunctions

Ep 4: Theory, part 1