Explore: Categories With Structure

concept Pregnancy category Prisoner security categories in the United Kingdom Weight class (boxing) List of software categories Categories (word game), a

(secondary coordinates) These are the world's tallest structures by category. This article requires the structure to be "topped out". * "Mixed-use" is defined

different categories may also be considered "equivalent" for purposes of category theory, even if they do not have precisely the same structure. Well-known

R-modules. Other examples of categories admitting model structures include the category of all small categories, the category of simplicial sets or simplicial

for commutative diagrams. For many common categories, an object is a set (often with some additional structure) and a morphism is a function from an object

usual with Aristotle's works, but into fifteen chapters. The Categories places every object of human apprehension under one of ten categories (known

category of small categories with ⊗ {\displaystyle \otimes } product of categories, then a category enriched over it is exactly a strict 2-category.

the intensities of tropical depressions and tropical storms—into five categories distinguished by the intensities of their sustained winds. This measuring

the term additive category for preadditive categories, but this page reserves that term for certain special preadditive categories (see § Special cases

category of topological spaces with extra structure. A forgetful functor between categories of algebraic structures "forgets" a part of a structure.