Domains and Their Cartesian Products
Andrzej Trybulec
Abstract
Andrzej Trybulec
Abstract
Summary. The article includes: theorems related to domains, theorems related to Cartesian products presented earlier in various articles and simplified here by substituting domains for sets and omitting the assumption that the sets involved must not be empty. Several schemes and theorems related to Fraenkel operator are given. We also redefine subset yielding functions such as the pair of elements of a
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Summary. The article includes: theorems related to domains, theorems related to Cartesian products presented earlier in various articles and simplified here by substituting domains for sets and omitting the assumption that the sets involved must not be empty. Several schemes and theorems related to Fraenkel operator are given. We also redefine subset yielding functions such as the pair of elements of a
Key concepts: Cartesian product, Mathematics, Cartesian coordinate system, Operator (biology), Algebra over a field, Cartesian closed category, Pure mathematics, Discrete mathematics