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 ...

7 окт. 2017 г. · Cat is the category of all small categories in the sense that their objects and morphisms form sets (not classes). It is clear that this ...

22 авг. 2017 г. · Category of concrete categories ... Consider the following 2-category: • It objects are concrete categories, i.e., categories equipped with a ...

9 авг. 2010 г. · Closed 14 years ago. A concrete category is a category C together with a function that assigns to each object A of C a set called the underlying ...

25 дек. 2018 г. · A category is called concrete if it is equipped with faithful functor to Set. Let us say a category C can be made concrete if there exists a ...

23 окт. 2009 г. · Sometimes people call a category concrete if there exists (or if it comes equipped with) a faithful functor to the category of sets. But usage ...

19 окт. 2009 г. · More precisely, is every concrete category C isomorphic to a category C' of small categories such that the morphisms between two elements of C ...

31 июл. 2019 г. · A concrete category should be thought of more or less as a category of structured sets (sets equipped with some sort of specified structure) ...

16 июл. 2020 г. · Given a ring (commutative, unital) R, the polynomial ring R[x] is the initial pointed R-algebra, in the sense that given any other R-algebra R→A ...