In mathematics, a concrete category is a category that is equipped with a faithful functor to the category of sets This functor makes it possible to think ...

18 сент. 2024 г. · A concrete category is a category that looks like a category of “sets equipped with extra structure”, hence like a category of structured sets.

12 окт. 2012 г. · A concrete category is a category that is equipped with a faithful functor to the category of sets. This functor makes it possible to think of ... How should I think about concrete functors and in particular ... Cat as a concrete category - MathOverflow Can the objects of every concrete category themselves be ... There are no abstract categories - MathOverflow Другие результаты с сайта mathoverflow.net

A concrete category consists of a collection of objects and a collection of morphisms. From: Handbook of Analysis and Its Foundations, 1997

16 февр. 2011 г. · A concrete category is usually defined to mean a category equipped with a functor C → Set C\to Set which is faithful, which is to say, surjective on equations.

8 янв. 2013 г. · A concrete category is a category of sets and functions - that is, the objects are certain sets, and the morphisms are certain functions between them. Intuition of non-concretizable categories? - Math Stack Exchange Concrete category with non-standard products Equality of objects in a concrete category - Math Stack Exchange Concrete category of topological spaces over preordered sets Другие результаты с сайта math.stackexchange.com

8 июн. 2024 г. · A topological category is a concrete category with nice features matching the ability to form weak and strong topologies in Top. 3. Definition.

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Опубликовано: 25 дек. 2021 г.

On the other hand, the theory of categories is based on the notions of morphism and functor. An appropriate definition of a structure in a concrete category is ...