Category Theory
Explore objects and maps; universal constructions; representability and algebra. Concepts and connections are available independently of video coverage.
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Function composition
Composition applies one function after another where the output fits the next domain.
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Categories
A category has objects, morphisms, associative composition and identity morphisms.
Functions
A function assigns exactly one output to each input in its domain; its domain matters when comparing expressions.
Inverse functions
An inverse reverses a bijection; domain restrictions can make a function invertible.
Yoneda lemma
Maps from a representable functor into a functor correspond naturally to an element at its representing object.
Absolute value
Absolute value measures distance from zero on the real line.
Knowledge connections
- Functions · Related · Map context
- Inverse functions · Related · Map context
- Categories · Related · Map context
- Yoneda lemma · Related · Map context
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Elementary Algebra and Functions
Explore numbers and expressions; equations and inequalities; functions and growth. Concepts and connections are available independently of video coverage.