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Lecture# MATH-436: Chapter 1(a): Categories, Functors, and Natural Transformations

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Ep 3: Natural transformations

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Instructors (1)

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Natural transformation

In , a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e., the composition of morphisms) of the invo

Weak topology

In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators, for instance on a Hilbert space. The term is mo

Topological space

In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance. More specifically, a topological

Map

A map is a symbolic depiction emphasizing relationships between elements of some space, such as objects, regions, or themes.
Many maps are static, fixed to paper or some other durable medium, whil

Homeomorphism

In the mathematical field of topology, a homeomorphism (, named by Henri Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topo

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