<?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>0120-6346</journal-id>
<journal-title><![CDATA[Semestre Económico]]></journal-title>
<abbrev-journal-title><![CDATA[Semest. Econ.]]></abbrev-journal-title>
<issn>0120-6346</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Medellín]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-63462017000400133</article-id>
<article-id pub-id-type="doi">10.22395/seec.v20n45a5</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[JUSTIFICACIÓN TOPOLÓGICA DEL ÍNDICE DE HERFINDAHL-HIRSCHMAN COMO ÍNDICE GENERADO POR NORMAS]]></article-title>
<article-title xml:lang="en"><![CDATA[TOPOLOGICAL JUSTIFICATION OF THE HERFINDAHL-HIRSCHMAN INDEX AS A NORM-GENERATED INDEX]]></article-title>
<article-title xml:lang="pt"><![CDATA[JUSTIFICATIVA TOPOLÓGICA DO ÍNDICE DE HERFINDAHL-HIRSCHMAN COMO ÍNDICE GERADO POR NORMAS]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ruiz-Paredes]]></surname>
<given-names><![CDATA[Carlos Fabián]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ruiz-Paredes]]></surname>
<given-names><![CDATA[Luis Eduardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Morales-Paredes]]></surname>
<given-names><![CDATA[Jorge]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Militar Nueva Granada  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universitaria Agustiniana  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</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>20</volume>
<numero>45</numero>
<fpage>133</fpage>
<lpage>161</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-63462017000400133&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-63462017000400133&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-63462017000400133&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Este trabajo propone una manera alterna de justificar el índice de Herfindahl-Hirschman; lo anterior partiendo de índices generados por normas sobre espacios vectoriales de dimensión finita. A partir de normas sobre  se pueden construir propuestas para medir concentración industrial. Se probará que el índice de Herfindahl-Hirschman y el índice ratio de concentración (RC1) son el límite de los índices generados por la norma euclidiana y la norma del máximo, respectivamente, esto cuando se considera un escenario hipotético de infinitos actores en la industria. CLASIFICACIÓN JEL: C02, L11]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT This paper proposes an alternative way of justifying the Herfindahl-Hirschman index; this is based on indices generated by norms on finite dimension vector spaces. Based on R&#94;n standards, proposals to measure industrial concentration can be constructed. The Herfindahl- Hirschman index and the concentration ratio index (RC1) will be proven to be the limit of the indexes generated by the Euclidean norm and the maximum standard, respectively, this when considering a hypothetical scenario of infinite actors in the industry. JEL CLASSIFICATION: C02, L11]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMO Este trabalho propõe uma maneira alternativa de justificar o índice de Herfindahl- Hirschman. Para isso, parte-se de índices gerados por normas sobre espaços vetoriais de dimensão finita. Com base em normas sobre , podem ser construídas propostas para medir a concentração industrial. Prova-se que o índice de Herfindahl-Hirschman e o índice de concentração () são o limite dos índices gerados pela norma euclidiana e pela norma do máximo, respectivamente, isso quando se considera um cenário hipotético de infinitos atores na indústria. CLASSIFICAÇÃO JEL: C02, L11]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Índices de concentración]]></kwd>
<kwd lng="es"><![CDATA[concentración industrial]]></kwd>
<kwd lng="es"><![CDATA[índice de Herfindahl-Hirschman]]></kwd>
<kwd lng="es"><![CDATA[Colombia]]></kwd>
<kwd lng="en"><![CDATA[Concentration index]]></kwd>
<kwd lng="en"><![CDATA[industrial concentration]]></kwd>
<kwd lng="en"><![CDATA[Herfindahl-Hirschman index]]></kwd>
<kwd lng="en"><![CDATA[Colombia]]></kwd>
<kwd lng="pt"><![CDATA[Índices de concentração]]></kwd>
<kwd lng="pt"><![CDATA[concentração industrial]]></kwd>
<kwd lng="pt"><![CDATA[índice de Herfindahl-Hirschman]]></kwd>
<kwd lng="pt"><![CDATA[Colômbia]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Apostol]]></surname>
<given-names><![CDATA[Tom]]></given-names>
</name>
</person-group>
<source><![CDATA[Análisis matemático]]></source>
<year>2001</year>
<page-range>590</page-range><publisher-loc><![CDATA[Barcelona, España ]]></publisher-loc>
<publisher-name><![CDATA[Reverté]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bikker]]></surname>
<given-names><![CDATA[Jacob]]></given-names>
</name>
<name>
<surname><![CDATA[Haaf]]></surname>
<given-names><![CDATA[Katharina.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Measures of competition and concentration in the Banking Industry: a Review of the Literature]]></article-title>
<source><![CDATA[Research Series Supervision]]></source>
<year>2002</year>
<numero>27</numero>
<issue>27</issue>
<page-range>35</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Davies]]></surname>
<given-names><![CDATA[Stephen]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Choosing between Concentration Indices: The Iso-Concentration Curve]]></article-title>
<source><![CDATA[Economica]]></source>
<year>1979</year>
<volume>46</volume>
<numero>181</numero>
<issue>181</issue>
<page-range>67-75</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Etro]]></surname>
<given-names><![CDATA[Federico]]></given-names>
</name>
</person-group>
<source><![CDATA[Competition, Innovation, and Antitrust: A theory of market leaders and its policy implications]]></source>
<year>2007</year>
<page-range>284</page-range><publisher-loc><![CDATA[Springer ]]></publisher-loc>
<publisher-name><![CDATA[Berlin, Alemania]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="">
<collab>FENALCO</collab>
<collab>ANDI</collab>
<source><![CDATA[Informe del sector automotor a mayo de 2016]]></source>
<year>2016</year>
<page-range>22</page-range><publisher-loc><![CDATA[Colombia ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hall]]></surname>
<given-names><![CDATA[Marshall]]></given-names>
</name>
<name>
<surname><![CDATA[Tideman]]></surname>
<given-names><![CDATA[Nicolaus]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Measures of concentration]]></article-title>
<source><![CDATA[Journal of the american statistical association]]></source>
<year>1967</year>
<volume>62</volume>
<numero>317</numero>
<issue>317</issue>
<page-range>162-8</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hannah]]></surname>
<given-names><![CDATA[Leslie]]></given-names>
</name>
<name>
<surname><![CDATA[Kay]]></surname>
<given-names><![CDATA[John]]></given-names>
</name>
</person-group>
<source><![CDATA[Concentration in modern industry: theory, measurement, and the U.K. experience]]></source>
<year>1977</year>
<page-range>144</page-range><publisher-loc><![CDATA[London, UK ]]></publisher-loc>
<publisher-name><![CDATA[Macmillan]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herfindahl]]></surname>
<given-names><![CDATA[Orris]]></given-names>
</name>
</person-group>
<source><![CDATA[Concentration in the U. S. Steel Industry]]></source>
<year>1950</year>
<publisher-loc><![CDATA[Estados Unidos ]]></publisher-loc>
<publisher-name><![CDATA[Universidad de Columbia]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Horvath]]></surname>
<given-names><![CDATA[Janos]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Suggestion for a Comprehensive Measure of Concentration]]></article-title>
<source><![CDATA[Southern Economic Journal]]></source>
<year>1970</year>
<volume>36</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>446-52</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kreyszig]]></surname>
<given-names><![CDATA[Erwin]]></given-names>
</name>
</person-group>
<source><![CDATA[Introductory Functional Analysis with Applications]]></source>
<year>1989</year>
<page-range>704</page-range><publisher-loc><![CDATA[Estados Unidos ]]></publisher-loc>
<publisher-name><![CDATA[Wile]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Naldi]]></surname>
<given-names><![CDATA[Maurizio]]></given-names>
</name>
<name>
<surname><![CDATA[Flamini]]></surname>
<given-names><![CDATA[Marta]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Correlation and Concordance between the CR4 Index and the Herfindahl-Hirschman Index]]></article-title>
<source><![CDATA[Social Science Research Network]]></source>
<year>2014</year>
<page-range>19</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruiz Paredes]]></surname>
<given-names><![CDATA[Carlos Fabian]]></given-names>
</name>
</person-group>
<source><![CDATA[Índices de concentración industrial inducidos por métricas]]></source>
<year>2016</year>
<page-range>74</page-range><publisher-loc><![CDATA[Colombia ]]></publisher-loc>
<publisher-name><![CDATA[Universidad Externado de Colombia]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
