Small category

From Cattheory

This article defines a category property: a property that can be evaluated to true/false given a category.
View a complete list of category properties|Get category property lookup help |Get exploration suggestions
VIEW RELATED: Category property implications | Category property non-implications | Category metaproperty satisfactions | Category metaproperty dissatisfactions | Category property satisfactions |Category property dissatisfactions

Definition

A small category is a category satisfying both the following:

  • The collection of objects for the category is a set.
  • For any two objects, the collection of morphisms between them is a set.

Relation with other properties

Weaker properties