<?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>S0120-419X2020000200004</article-id>
<article-id pub-id-type="doi">10.18273/revint.v38n2-2020004</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A characterization of inducible mappings between hyperspaces]]></article-title>
<article-title xml:lang="es"><![CDATA[Una caracterización de funciones inducibles entre hiperespacios]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[G. Anay]]></surname>
<given-names><![CDATA[José]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Maya]]></surname>
<given-names><![CDATA[David]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Orozco-Zitl]]></surname>
<given-names><![CDATA[Fernando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma del Estado de México Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma del Estado de México Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Autónoma del Estado de México Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<volume>38</volume>
<numero>2</numero>
<fpage>109</fpage>
<lpage>117</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2020000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2020000200004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2020000200004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract For fixed hyperspaces H(X) and H(Y ) of metric continua X and Y , respectively, a mapping g : H(X) &#8594; H(Y ) is called inducible provided that there exists a mapping f : X &#8594; Y such that g(A) = {f(a) : a &#8712; A}, for every A &#8712; H(X). In this paper, we present a characterization of inducible mappings between hyperspaces, compare it with the necessary and sufficient conditions under which a mapping between hyperspaces g is inducible given by J.J. Charatonik and W.J. Charatonik in 1998, and exhibit examples to show the independence among the conditions in both characterizations in all hyperespaces, some of them have not been considered in the known characterization, doing complete the study of this class of mappings.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Dados dos hiperespacios fijos H(X) y H(Y ) de continuos métricos X y Y , respectivamente, una función continua g : H(X) &#8594; H(Y ) es inducible si existe una función continua f : X &#8594; Y tal que g(A) = {f(a) : a &#8712; A}, para cada A &#8712; H(X). En este trabajo presentamos una caracterización de funciones inducibles entre hiperespacios, la comparamos con las condiciones necesarias y suficientes bajo las cuales una función continua entre hiperespacios es inducible, dada por J.J. Charatonik y W.J. Charatonik en 1998, y damos ejemplos que muestran la independencia entre las condiciones en ambas caracterizaciones en todos los hiperespacios, algunos de ellos no habían sido considerados en la caracterización ya conocida, haciendo completo el estudio de esta clase de funciones continuas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Continuum]]></kwd>
<kwd lng="en"><![CDATA[hyperspace]]></kwd>
<kwd lng="en"><![CDATA[induced mapping]]></kwd>
<kwd lng="en"><![CDATA[inducible mapping]]></kwd>
<kwd lng="es"><![CDATA[Continuo]]></kwd>
<kwd lng="es"><![CDATA[función inducible]]></kwd>
<kwd lng="es"><![CDATA[función inducida]]></kwd>
<kwd lng="es"><![CDATA[hiperespacio]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Charatonik]]></surname>
<given-names><![CDATA[J.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Recent research in hyperspace theory]]></article-title>
<source><![CDATA[Extracta Math]]></source>
<year>2003</year>
<volume>18</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>235-62</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Charatonik]]></surname>
<given-names><![CDATA[J.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Charatonik]]></surname>
<given-names><![CDATA[W.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Inducible mappings between hyperspaces]]></article-title>
<source><![CDATA[Bull. Pol. Acad. Sci. Math]]></source>
<year>1998</year>
<volume>46</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>5-9</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Charatonik]]></surname>
<given-names><![CDATA[J.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Illanes]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Macías]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Induced mapping on the hyperspaces Cn(X) of a continuum X]]></article-title>
<source><![CDATA[Houston J. Math]]></source>
<year>2002</year>
<volume>28</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>781-805</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Illanes]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Nadler]]></surname>
<given-names><![CDATA[S.B.Jr.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Hyperspaces: Fundamentals and recent advances]]></article-title>
<source><![CDATA[Monographs and Textbooks in Pure and Applied Math]]></source>
<year>1999</year>
<volume>216</volume>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Marcel Dekker, Inc.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Michael]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Topologies on spaces of subsets]]></article-title>
<source><![CDATA[Trans. Amer. Math. Soc]]></source>
<year>1951</year>
<volume>71</volume>
<page-range>152-82</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
