Covering properties which, under weak diamond principles, constrain the extents of separable spaces

Detalhes bibliográficos
Autor(a) principal: Morgan, C.
Data de Publicação: 2010
Outros Autores: Silva, S. G. da
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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spelling 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
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv 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
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.source.pt_BR.fl_str_mv DOI: 10.1007/s10474-010-9210-y
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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