Closed products of sets and the axiom of choice
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2011 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UFBA |
| Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/5411 |
Resumo: | texto completo: acesso restrito. p. 128–132. |
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Jesus, J. P. C. deSilva, S. G. daJesus, J. P. C. deSilva, S. G. da2012-02-13T22:26:50Z20111588-2632http://www.repositorio.ufba.br/ri/handle/ri/5411133 (1–2)texto completo: acesso restrito. p. 128–132.With a slight modification of a previous argument due to Schechter, we show that the Axiom of Choice is equivalent to the following topological statement: “If a product of a non-empty family of sets is closed in a topological (Tychonoff) product, then at least one of the factors is closed”. We also discuss the case on which one adds the hypothesis that the closed product of sets is a non-empty set.Submitted by Ana Valéria de Jesus Moura (anavaleria_131@hotmail.com) on 2012-02-13T22:26:50Z No. of bitstreams: 1 878956.pdf: 320235 bytes, checksum: 60a07ccb9a3277726e6f2313d663022d (MD5)Made available in DSpace on 2012-02-13T22:26:50Z (GMT). No. of bitstreams: 1 878956.pdf: 320235 bytes, checksum: 60a07ccb9a3277726e6f2313d663022d (MD5) Previous issue date: 2011DOI: 10.1007/s10474-010-0061-3reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAClosed products of sets and the axiom of choiceActa Mathematica Hungaricainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL878956.pdf878956.pdfapplication/pdf320235https://repositorio.ufba.br/bitstream/ri/5411/1/878956.pdf60a07ccb9a3277726e6f2313d663022dMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/5411/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT878956.pdf.txt878956.pdf.txtExtracted texttext/plain8146https://repositorio.ufba.br/bitstream/ri/5411/3/878956.pdf.txt557696f09e5ea5df27426ee2ecc66bd0MD53ri/54112022-07-05 14:03:33.896oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:33Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
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Closed products of sets and the axiom of choice |
| dc.title.alternative.pt_BR.fl_str_mv |
Acta Mathematica Hungarica |
| title |
Closed products of sets and the axiom of choice |
| spellingShingle |
Closed products of sets and the axiom of choice Jesus, J. P. C. de |
| title_short |
Closed products of sets and the axiom of choice |
| title_full |
Closed products of sets and the axiom of choice |
| title_fullStr |
Closed products of sets and the axiom of choice |
| title_full_unstemmed |
Closed products of sets and the axiom of choice |
| title_sort |
Closed products of sets and the axiom of choice |
| author |
Jesus, J. P. C. de |
| author_facet |
Jesus, J. P. C. de Silva, S. G. da |
| author_role |
author |
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Silva, S. G. da |
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author |
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Jesus, J. P. C. de Silva, S. G. da Jesus, J. P. C. de Silva, S. G. da |
| description |
texto completo: acesso restrito. p. 128–132. |
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2011 |
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2011 |
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2012-02-13T22:26:50Z |
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133 (1–2) |
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DOI: 10.1007/s10474-010-0061-3 |
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