Algebraic structures in the sets of surjective functions
In the paper we construct several algebraic structures (vector spaces, algebras and free algebras) inside sets of different types of surjective functions. Among many results we prove that: the set of everywhere but not strongly everywhere surjective complex functions is strongly c -algebrable and th...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bartoszewicz, Artur [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
Strongly everywhere surjective function |
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| Umfang: |
12 |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:441 ; year:2016 ; number:2 ; day:15 ; month:09 ; pages:574-585 ; extent:12 |
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|---|
| DOI / URN: |
10.1016/j.jmaa.2016.04.013 |
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ELV019870558 |
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| 520 | |a In the paper we construct several algebraic structures (vector spaces, algebras and free algebras) inside sets of different types of surjective functions. Among many results we prove that: the set of everywhere but not strongly everywhere surjective complex functions is strongly c -algebrable and that its 2 c -algebrability is consistent with ZFC; under CH the set of everywhere surjective complex functions which are Sierpiński–Zygmund in the sense of continuous but not Borel functions is strongly c -algebrable; the set of Jones complex functions is strongly 2 c -algebrable. | ||
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In the paper we construct several algebraic structures (vector spaces, algebras and free algebras) inside sets of different types of surjective functions. Among many results we prove that: the set of everywhere but not strongly everywhere surjective complex functions is strongly c -algebrable and that its 2 c -algebrability is consistent with ZFC; under CH the set of everywhere surjective complex functions which are Sierpiński–Zygmund in the sense of continuous but not Borel functions is strongly c -algebrable; the set of Jones complex functions is strongly 2 c -algebrable. |
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In the paper we construct several algebraic structures (vector spaces, algebras and free algebras) inside sets of different types of surjective functions. Among many results we prove that: the set of everywhere but not strongly everywhere surjective complex functions is strongly c -algebrable and that its 2 c -algebrability is consistent with ZFC; under CH the set of everywhere surjective complex functions which are Sierpiński–Zygmund in the sense of continuous but not Borel functions is strongly c -algebrable; the set of Jones complex functions is strongly 2 c -algebrable. |
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In the paper we construct several algebraic structures (vector spaces, algebras and free algebras) inside sets of different types of surjective functions. Among many results we prove that: the set of everywhere but not strongly everywhere surjective complex functions is strongly c -algebrable and that its 2 c -algebrability is consistent with ZFC; under CH the set of everywhere surjective complex functions which are Sierpiński–Zygmund in the sense of continuous but not Borel functions is strongly c -algebrable; the set of Jones complex functions is strongly 2 c -algebrable. |
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Algebraic structures in the sets of surjective functions |
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Bienias, Marek Gła̧b, Szymon Natkaniec, Tomasz |
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10.1016/j.jmaa.2016.04.013 |
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2024-07-06T22:35:24.188Z |
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