<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262019000200109</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Absoluteness theorems for arbitrary Polish spaces]]></article-title>
<article-title xml:lang="es"><![CDATA[Teoremas de absolutidad para espacios polacos arbitrarios]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[MEJÍA]]></surname>
<given-names><![CDATA[DIEGO ALEJANDRO]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[RIVERA-MADRID]]></surname>
<given-names><![CDATA[ISMAEL E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Shizuoka University  ]]></institution>
<addr-line><![CDATA[Shizuoka ]]></addr-line>
<country>Japan</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Institución Universitaria Pascual Bravo  ]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<volume>53</volume>
<numero>2</numero>
<fpage>109</fpage>
<lpage>123</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262019000200109&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262019000200109&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262019000200109&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT.  By coding Polish metric spaces with metrics on countable sets, we propose an interpretation of Polish metric spaces in models of ZFC and extend Mostowski's classical theorem of absoluteness of analytic sets for any Polish metric space in general. In addition, we prove a general version of Shoenfield's absoluteness theorem.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN. Mediante la codificación de espacios polacos con métricas de conjuntos contables, proponemos una interpretación de espacios métricos polacos en modelos de ZFC y extendemos el clósico Teorema de Absolutidad (para conjuntos analíticos) de Mostowski para cualquier espacio métrico polaco en general. Adicionalmente, probamos una versioón general del Teorema de Absolutidad de Shoenfield.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Mostowski's Absoluteness Theorem]]></kwd>
<kwd lng="en"><![CDATA[Shoenfield's Absoluteness Theorem]]></kwd>
<kwd lng="en"><![CDATA[Polish metric spaces]]></kwd>
<kwd lng="es"><![CDATA[Teorema de Absolutidad de Mostowski]]></kwd>
<kwd lng="es"><![CDATA[Teorema de Absolutidad de Shoenfield]]></kwd>
<kwd lng="es"><![CDATA[espacios metricos polacos]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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