Similarities between Coproduct and Empty product
Coproduct and Empty product have 10 things in common (in Unionpedia): Cartesian product, Category of groups, Category of sets, Discrete category, Dual (category theory), Empty set, Initial and terminal objects, Limit (category theory), Product (category theory), Tuple.
Cartesian product
In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.
Cartesian product and Coproduct · Cartesian product and Empty product ·
Category of groups
In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms.
Category of groups and Coproduct · Category of groups and Empty product ·
Category of sets
In the mathematical field of category theory, the category of sets, denoted as Set, is the category whose objects are sets.
Category of sets and Coproduct · Category of sets and Empty product ·
Discrete category
In mathematics, in the field of category theory, a discrete category is a category whose only morphisms are the identity morphisms: Since by axioms, there is always the identity morphism between the same object, we can express the above as condition on the cardinality of the hom-set Some authors prefer a weaker notion, where a discrete category merely needs to be equivalent to such a category.
Coproduct and Discrete category · Discrete category and Empty product ·
Dual (category theory)
In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite category Cop.
Coproduct and Dual (category theory) · Dual (category theory) and Empty product ·
Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
Coproduct and Empty set · Empty product and Empty set ·
Initial and terminal objects
In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely one morphism I → X. The dual notion is that of a terminal object (also called terminal element): T is terminal if for every object X in C there exists a single morphism X → T. Initial objects are also called coterminal or universal, and terminal objects are also called final.
Coproduct and Initial and terminal objects · Empty product and Initial and terminal objects ·
Limit (category theory)
In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products, pullbacks and inverse limits.
Coproduct and Limit (category theory) · Empty product and Limit (category theory) ·
Product (category theory)
In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct product of rings and the product of topological spaces.
Coproduct and Product (category theory) · Empty product and Product (category theory) ·
Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
The list above answers the following questions
- What Coproduct and Empty product have in common
- What are the similarities between Coproduct and Empty product
Coproduct and Empty product Comparison
Coproduct has 54 relations, while Empty product has 55. As they have in common 10, the Jaccard index is 9.17% = 10 / (54 + 55).
References
This article shows the relationship between Coproduct and Empty product. To access each article from which the information was extracted, please visit: