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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.00047 |
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| _version_ | 1866910894980595712 |
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| author | Gatica, Ivan Bustamente, Alfonso |
| author_facet | Gatica, Ivan Bustamente, Alfonso |
| contents | In this paper we present a brief study of the $σ$-set-$σ$-antiset duality that occurs in $σ$-set theory and we also present the development of the integer space $3^{A}=\left\langle 2^{A}, 2^{A^{-}} \right\rangle$ 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 $σ$-sets and finally we present the development and definition of a type of equations of one $σ$-set variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $σ$-Sets and $σ$-Antisets Gatica, Ivan Bustamente, Alfonso General Mathematics In this paper we present a brief study of the $σ$-set-$σ$-antiset duality that occurs in $σ$-set theory and we also present the development of the integer space $3^{A}=\left\langle 2^{A}, 2^{A^{-}} \right\rangle$ 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 $σ$-sets and finally we present the development and definition of a type of equations of one $σ$-set variable. |
| title | $σ$-Sets and $σ$-Antisets |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2501.00047 |