I. Araus

collaborators

3 papers

math.LO2009

Characterization and uniqueness of $σ$ -Antisets

Ivan Gatica Araus

In this article, we prove that if there exists a $σ$ -antiset $X^{*}$ , of a $σ$ -set $X$ , then it is unique and therefore we can present a characterization of the $σ$ -antiset.

math.FA2009

$σ$ -Relations, $σ$ -functions and $σ$ -antifunctions

Ivan Gatica Araus

In this article we develop the concepts of $σ$ -relation and $σ$ -function, following the same steps as in Set Theory. First we define the concept of ordered pair and then we build t…

math.LO2009

$σ$ -Set Theory: Introduction to the concepts of $σ$ -antielement, $σ$ -antiset and Integer Space

Ivan Gatica Araus

In this paper we develop a theory called $σ$ -Set Theory, in which we present an axiom system developed from the study of Set Theories of Zermelo-Fraenkel, Neumann-Bernays-Godel and…

Characterization and uniqueness of σ-Antisets

σ-Relations, σ-functions and σ-antifunctions

σ-Set Theory: Introduction to the concepts of σ-antielement, σ-antiset and Integer Space

Characterization and uniqueness of $σ$ -Antisets

$σ$ -Relations, $σ$ -functions and $σ$ -antifunctions

$σ$ -Set Theory: Introduction to the concepts of $σ$ -antielement, $σ$ -antiset and Integer Space