Properties of finitely supported self-mappings on the finite powerset of atoms (Q821322)
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scientific article; zbMATH DE number 7397422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of finitely supported self-mappings on the finite powerset of atoms |
scientific article; zbMATH DE number 7397422 |
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Properties of finitely supported self-mappings on the finite powerset of atoms (English)
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20 September 2021
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The paper provides some results on finitely supported set-theoretic constructions, specially on finitely supported self-mappings defined on \(\wp_{fin}(A)\) (the set of the finite subsets of \(A\), in which \(A\) is an infinite set of ``atoms''). It is proved that surjectivity is equivalent to injectivity for these mappings, and also that they satisfy some fixed-point properties under special conditions. This result shows that, although \(\wp_{fin}(A)\) is infinite, it has some finiteness properties.
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finitely supported strutures
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self-mappings of the finite powerset
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0.8264859318733215
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0.8161874413490295
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0.7612794041633606
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