Covering properties which, under weak diamond principles, constrain the extents of separable spaces
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Data de Publicação: | 2010 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/5648 |
Resumo: | Acesso restrito: Texto completo. p. 358-368. |
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Morgan, C.Silva, S. G. daMorgan, C.Silva, S. G. da2012-04-19T12:46:25Z20100236-5294http://www.repositorio.ufba.br/ri/handle/ri/5648v. 128, n. 4Acesso restrito: Texto completo. p. 358-368.We show that separable, locally compact spaces with property (a) necessarily have countable extent { i.e., have no uncountable closed, discrete sub- spaces { if the e®ective weak diamond principle }(!; !;<) holds. If the stronger,non-e®ective, diamond principle ©(!; !;<) holds then separable, countably para-compact spaces also have countable extent. We also give a short proof that the latter principle implies there are no small dominating families in !1!.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-04-19T12:46:25Z No. of bitstreams: 1 __www.springerlink.com_c...9111r30261016r11_fulltext.pdf: 171834 bytes, checksum: 35a54c805ea19d1a685866c230f0f802 (MD5)Made available in DSpace on 2012-04-19T12:46:25Z (GMT). No. of bitstreams: 1 __www.springerlink.com_c...9111r30261016r11_fulltext.pdf: 171834 bytes, checksum: 35a54c805ea19d1a685866c230f0f802 (MD5) Previous issue date: 2010DOI: 10.1007/s10474-010-9210-yreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBACovering properties which, under weak diamond principles, constrain the extents of separable spacesActa Mathematica Hungaricainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL__www.springerlink.com_c...9111r30261016r11_fulltext.pdf__www.springerlink.com_c...9111r30261016r11_fulltext.pdfapplication/pdf171834https://repositorio.ufba.br/bitstream/ri/5648/1/__www.springerlink.com_c...9111r30261016r11_fulltext.pdf35a54c805ea19d1a685866c230f0f802MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/5648/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT__www.springerlink.com_c...9111r30261016r11_fulltext.pdf.txt__www.springerlink.com_c...9111r30261016r11_fulltext.pdf.txtExtracted texttext/plain27188https://repositorio.ufba.br/bitstream/ri/5648/3/__www.springerlink.com_c...9111r30261016r11_fulltext.pdf.txt8a5fcbe08355ae46b0df59f1d7fa53e2MD53ri/56482022-07-05 14:03:33.899oai: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 |
dc.title.pt_BR.fl_str_mv |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
dc.title.alternative.pt_BR.fl_str_mv |
Acta Mathematica Hungarica |
title |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
spellingShingle |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces Morgan, C. |
title_short |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
title_full |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
title_fullStr |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
title_full_unstemmed |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
title_sort |
Covering properties which, under weak diamond principles, constrain the extents of separable spaces |
author |
Morgan, C. |
author_facet |
Morgan, C. Silva, S. G. da |
author_role |
author |
author2 |
Silva, S. G. da |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Morgan, C. Silva, S. G. da Morgan, C. Silva, S. G. da |
description |
Acesso restrito: Texto completo. p. 358-368. |
publishDate |
2010 |
dc.date.issued.fl_str_mv |
2010 |
dc.date.accessioned.fl_str_mv |
2012-04-19T12:46:25Z |
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info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://www.repositorio.ufba.br/ri/handle/ri/5648 |
dc.identifier.issn.none.fl_str_mv |
0236-5294 |
dc.identifier.number.pt_BR.fl_str_mv |
v. 128, n. 4 |
identifier_str_mv |
0236-5294 v. 128, n. 4 |
url |
http://www.repositorio.ufba.br/ri/handle/ri/5648 |
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eng |
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eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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DOI: 10.1007/s10474-010-9210-y |
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UFBA |
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UFBA |
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Repositório Institucional da UFBA |
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