Set-theoretical entropies of generalized shifts
In the following text for arbitrary X with at least two elements, nonempty set Γ and self-map φ: Γ → Γ, we prove the set-theoretical entropy of generalized shift σφ: XΓ → XΓ (σφ((xα)α ∈ Γ) = (xφ(α))α ∈ Γ (para (xα)α ∈ Γ ∈ XΓ) is either zero or infinity, moreover it is zero if and only if φ is quasi-...
- Autores:
-
Nili Ahmadabadi, Zahra
Ayatollah Zadeh Shirazi, Fatemah
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/68371
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/68371
http://bdigital.unal.edu.co/69404/
- Palabra clave:
- 51 Matemáticas / Mathematics
Bounded map
Contravariant set-theoretical entropy
Quasi-periodic
Set-theoretical entropy
función acotada
entropía conjuntista contravariante
casi periodicidad
entropía conjuntista
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Nili Ahmadabadi, Zahra9aa93dc3-d77b-4ba7-9600-7e7ed6fb3129300Ayatollah Zadeh Shirazi, Fatemahf8f8ee15-c82f-4166-b1fb-9772772f61ff3002019-07-03T06:35:37Z2019-07-03T06:35:37Z2017-07-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/68371http://bdigital.unal.edu.co/69404/In the following text for arbitrary X with at least two elements, nonempty set Γ and self-map φ: Γ → Γ, we prove the set-theoretical entropy of generalized shift σφ: XΓ → XΓ (σφ((xα)α ∈ Γ) = (xφ(α))α ∈ Γ (para (xα)α ∈ Γ ∈ XΓ) is either zero or infinity, moreover it is zero if and only if φ is quasi-periodic. We continue our study on contravariant set-theoretical entropy of generalized shift and motivate the text using counterexamples dealing with algebraic, topological, set-theoretical and contravariant set-theoretical positive entropies of generalized shifts.En el siguiente texto, para X arbitraria con al menos dos elementos, Γ un conjunto no vacío y una función φ: Γ → Γ, demostramos que la entropía conjuntista del cambio generalizado σφ: XΓ → XΓ (σφ((xα)α ∈ Γ) = (xφ(α))α ∈ Γ (para (xα)α ∈ Γ ∈ XΓ) es cero o infinito, además es cero si y solo si φ es casi periódica. Continuamos nuestro estudio sobre la entropía conjuntista contravariante de cambios generalizados y motivamos este escrito usando contraejemplos que tratan con entropias positivas de cambios generalizados algebraicas, topológicas, conjuntistas y conjuntistas contravariantes.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/70887Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasNili Ahmadabadi, Zahra and Ayatollah Zadeh Shirazi, Fatemah (2017) Set-theoretical entropies of generalized shifts. Boletín de Matemáticas, 24 (2). pp. 169-183. ISSN 2357-652951 Matemáticas / MathematicsBounded mapContravariant set-theoretical entropyQuasi-periodicSet-theoretical entropyfunción acotadaentropía conjuntista contravariantecasi periodicidadentropía conjuntistaSet-theoretical entropies of generalized shiftsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL70887-374942-1-SM.pdfapplication/pdf429535https://repositorio.unal.edu.co/bitstream/unal/68371/1/70887-374942-1-SM.pdf7336c18469746a9420b48ad4aeb787f4MD51THUMBNAIL70887-374942-1-SM.pdf.jpg70887-374942-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5431https://repositorio.unal.edu.co/bitstream/unal/68371/2/70887-374942-1-SM.pdf.jpg242a6010b09b011aee64d5db832b1747MD52unal/68371oai:repositorio.unal.edu.co:unal/683712023-06-03 23:03:18.227Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Set-theoretical entropies of generalized shifts |
| title |
Set-theoretical entropies of generalized shifts |
| spellingShingle |
Set-theoretical entropies of generalized shifts 51 Matemáticas / Mathematics Bounded map Contravariant set-theoretical entropy Quasi-periodic Set-theoretical entropy función acotada entropía conjuntista contravariante casi periodicidad entropía conjuntista |
| title_short |
Set-theoretical entropies of generalized shifts |
| title_full |
Set-theoretical entropies of generalized shifts |
| title_fullStr |
Set-theoretical entropies of generalized shifts |
| title_full_unstemmed |
Set-theoretical entropies of generalized shifts |
| title_sort |
Set-theoretical entropies of generalized shifts |
| dc.creator.fl_str_mv |
Nili Ahmadabadi, Zahra Ayatollah Zadeh Shirazi, Fatemah |
| dc.contributor.author.spa.fl_str_mv |
Nili Ahmadabadi, Zahra Ayatollah Zadeh Shirazi, Fatemah |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Bounded map Contravariant set-theoretical entropy Quasi-periodic Set-theoretical entropy función acotada entropía conjuntista contravariante casi periodicidad entropía conjuntista |
| dc.subject.proposal.spa.fl_str_mv |
Bounded map Contravariant set-theoretical entropy Quasi-periodic Set-theoretical entropy función acotada entropía conjuntista contravariante casi periodicidad entropía conjuntista |
| description |
In the following text for arbitrary X with at least two elements, nonempty set Γ and self-map φ: Γ → Γ, we prove the set-theoretical entropy of generalized shift σφ: XΓ → XΓ (σφ((xα)α ∈ Γ) = (xφ(α))α ∈ Γ (para (xα)α ∈ Γ ∈ XΓ) is either zero or infinity, moreover it is zero if and only if φ is quasi-periodic. We continue our study on contravariant set-theoretical entropy of generalized shift and motivate the text using counterexamples dealing with algebraic, topological, set-theoretical and contravariant set-theoretical positive entropies of generalized shifts. |
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2017 |
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2017-07-01 |
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2019-07-03T06:35:37Z |
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2019-07-03T06:35:37Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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ISSN: 2357-6529 |
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https://repositorio.unal.edu.co/handle/unal/68371 |
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http://bdigital.unal.edu.co/69404/ |
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ISSN: 2357-6529 |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/bolma/article/view/70887 |
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Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas Boletín de Matemáticas |
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Nili Ahmadabadi, Zahra and Ayatollah Zadeh Shirazi, Fatemah (2017) Set-theoretical entropies of generalized shifts. Boletín de Matemáticas, 24 (2). pp. 169-183. ISSN 2357-6529 |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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