Categories in category theory

Discrete category

In mathematics, in the field of category theory, a discrete category is a category whose only morphisms are the identity morphisms: homC(X, X) = {idX} for all objects XhomC(X, Y) = ∅ for all objects X ≠ Y Since by axioms, there is always the identity morphism between the same object, we can express the above as condition on the cardinality of the hom-set | homC(X, Y) | is 1 when X = Y and 0 when X is not equal to Y. Some authors prefer a weaker notion, where a discrete category merely needs to be equivalent to such a category. (Wikipedia).

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From playlist Discrete Structures

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From playlist Statistics

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From playlist Introduction to Functions: Function Basics

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From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)

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This video defines and provides examples of discrete and continuous variables.

From playlist Introduction to Functions: Function Basics

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From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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From playlist Maths B / Methods Course, Grade 11/12, High School, Queensland, Australia.

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From playlist Felix Klein Lectures 2020: Quiver moduli and applications, Markus Reineke (Bochum)

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From playlist Statistics

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Morgan Rogers - Toposes of Topological Monoid Actions

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From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun

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Related pages

Adjoint functors | Functor | Limit (category theory) | Subcategory | Class (set theory) | Diagram (category theory) | Functor category | Indiscrete category | Mathematics | Equivalence of categories | Product (category theory) | Diagonal functor | Category theory | Coproduct | Morphism