"object" in inglés with examples - Collocation dictionary inglés
- It is an initial object in the category of all categories.
- Creating the initial "objects" is difficult, especially for programmers who are used to designing the old-fashioned way.
- It should not be confused with the zero or bottom type, which allows no values and is the initial object in this category.
- They can be characterized as initial objects in the category of co-cones from F.
- Dually, the coproduct of an empty family is an initial object.
- In the category of non-empty sets, there are no initial objects.
- Note that even though some of the hom-sets are empty, the category Ring is still connected since it has an initial object.
- As a result, the empty set is the unique initial object of the category of sets and functions.
- This works in the dual case, with a category of cocones having an initial object.
- In category theory, 0 is sometimes used to denote an initial object of a category.
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