👉 In mathematics, a retractiveness property is a mathematical property that states that a structure (such as a set or a group) is closed under all of its operations if and only if it is closed under any inverse operation. In other words, an object satisfying this property must be both open and closed under the operations which it contains. For instance, consider the set A = {a, b} with the binary operation ⊕ defined as a⊕b = a + 10b for all