σ-Sets and σ-Antisets

In this paper we present a brief study of the \(\sigma\)-set-\(\sigma\)-antiset duality that occurs in \(\sigma\)-set theory and we also present the development of the integer space \(3^A = \langle 2^A, 2^{A^-}\rangle\) for the cardinals \(|A| = 2,3\) together with its algebraic properties. In this article, we also develop a presentation of some of the properties of fusion of \(\sigma\)-sets and finally we present the development and definition of a type of equations of one \(\sigma\)-set variable.