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mathematics, a concrete category is a category that is equipped with a faithful functor to the category of sets (or sometimes to another category). This functor...

In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked...

to have a left inverse. In concrete categories, a function that has a left inverse is injective. Thus in concrete categories, monomorphisms are often,...

formed.) With these concrete descriptions of kernels and cokernels, it is quite easy to check that Ab is indeed an abelian category. The product in Ab...

many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper. The category Ring is a concrete category meaning...

Concrete is a composite material composed of aggregate bonded together with a fluid cement that cures to a solid over time. Concrete is the second-most-used...

issues arise with other concrete categories, such as the category of groups or the category of topological spaces. Category of topological spaces Set...

morphisms or with the category of compactly generated weak Hausdorff spaces. Like many categories, the category Top is a concrete category, meaning its objects...

about Cop. Given a concrete category C, it is often the case that the opposite category Cop per se is abstract. Cop need not be a category that arises from...

Strecker, George E. (2004). Abstract and Concrete Categories. Heldermann Verlag Berlin. Awodey, Steve (2010). Category Theory. Oxford University Press. ISBN 978-0199237180...