<?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>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2017000200189</article-id>
<article-id pub-id-type="doi">10.18273/revint.v35n2-2017004</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[El espacio de Golomb y su no conexidad en pequeño]]></article-title>
<article-title xml:lang="en"><![CDATA[The Golomb space and its non connectedness &#8220;im kleinen&#8221;]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alberto-Domínguez]]></surname>
<given-names><![CDATA[José del Carmen]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Acosta]]></surname>
<given-names><![CDATA[Gerardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Delgadillo-Piñón]]></surname>
<given-names><![CDATA[Gerardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Madriz-Mendoza]]></surname>
<given-names><![CDATA[Maira]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Juárez Autónoma de Tabasco  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional Autónoma de México  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Juárez Autónoma de Tabasco  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Instituto Tecnológico Autónomo de México  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2017</year>
</pub-date>
<volume>35</volume>
<numero>2</numero>
<fpage>189</fpage>
<lpage>213</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2017000200189&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2017000200189&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2017000200189&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  En el presente trabajo, estudiamos los espacios de Brown, que son conexos y no completamente de Hausdorff. Utilizando progresiones aritméticas, construimos una base BG para una topología &#964;G de N, y mostramos que (N, &#964;G), llamado el espacio de Golomb, es de Brown. También probamos que hay elementos de BG que son de Brown, mientras que otros están totalmente separados. Escribimos algunas consecuencias de este resultado. Por ejemplo, (N, &#964;G) no es conexo en pequeño en ninguno de sus puntos. Esto generaliza un resultado probado por Kirch en 1969. También damos una prueba más simple de un resultado presentado por Szczuka en 2010.  MSC2010: 54D05, 11B25, 54D10, 54A05, 11B05, 11A07, 11A41.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  In the present paper we study Brown spaces which are connected and not completely Hausdorff. Using arithmetic progressions, we construct a base BG for a topology &#964;G on N, and show that (N, &#964;G), called the Golomb space is a Brown space. We also show that some elements of BG are Brown spaces, while others are totally separated. We write some consequences of such result. For example, the space (N, &#964;G) is not connected &#8220;im kleinen&#8221; at each of its points. This generalizes a result proved by Kirch in 1969. We also present a simpler proof of a result given by Szczuka in 2010.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Conexidad]]></kwd>
<kwd lng="es"><![CDATA[conexidad en pequeño]]></kwd>
<kwd lng="es"><![CDATA[conexidad local]]></kwd>
<kwd lng="es"><![CDATA[progresión aritmética]]></kwd>
<kwd lng="es"><![CDATA[topología de Golomb]]></kwd>
<kwd lng="en"><![CDATA[Arithmetic progression]]></kwd>
<kwd lng="en"><![CDATA[connectedness]]></kwd>
<kwd lng="en"><![CDATA[connectedness &#8220;im kleinen&#8221;]]></kwd>
<kwd lng="en"><![CDATA[Golomb topology]]></kwd>
<kwd lng="en"><![CDATA[local connectedness]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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