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Lecture# MATH-436: Active learning session

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Week 10, 17.11.2020

In course

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Lectures in same course

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Instructors (1)

Related concepts (23)

Functor

In mathematics, specifically , a functor is a mapping between . Functors were first considered in algebraic topology, where algebraic objects (such as the fundamental group) are associated to topol

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

Homotopy category

In mathematics, the homotopy category is a built from the category of topological spaces which in a sense identifies two spaces that have the same shape. The phrase is in fact used for two different

Category theory

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

Homotopy

In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from ὁμός "same, similar" and τόπος "place") if one can be "continuously d

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