Lecture

Category Theory: G-sets and Left Adjoint Functor

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Description

This lecture discusses the construction of objects in the free colombine category, defining a category of G-sets, exploring the left adjoint to the forgetful functor associating a G-set with its underlying set.

Official source

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Mathematical logic: Set theory

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In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set; there are no unpaired elements between the two sets. In mathematical terms, a bijective function f: X → Y is a one-to-one (injective) and onto (surjective) mapping of a set X to a set Y.

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