untitled
<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd>
<responseDate>2018-01-15T18:39:57Z</responseDate>
<request identifier=oai:HAL:hal-00699217v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request>
<GetRecord>
<record>
<header>
<identifier>oai:HAL:hal-00699217v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:UNIV-PERP</setSpec>
<setSpec>collection:INSMI</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:BNRMI</setSpec>
<setSpec>collection:LAMPS</setSpec>
</header>
<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Intersection of sets with n-connected unions</title>
<creator>Horvath, Charles, </creator>
<creator>Lassonde, Marc</creator>
<contributor>LAboratoire de Mathématiques et PhySique (LAMPS) ; Université de Perpignan Via Domitia (UPVD)</contributor>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0002-9939</source>
<source>Proceedings of the American Mathematical Society</source>
<publisher>American Mathematical Society</publisher>
<identifier>hal-00699217</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00699217</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00699217</source>
<source>Proceedings of the American Mathematical Society, American Mathematical Society, 1997, 125 (4), pp.1209-1214</source>
<language>en</language>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<subject>[MATH.MATH-GN] Mathematics [math]/General Topology [math.GN]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We show that if n sets in a topological space are given so that all the sets are closed or all are open, and for each k ≤ n every k of the sets have a (k − 2)-connected union, then the n sets have a point in common. As a consequence, we obtain the following starshaped version of Helly's theorem: If every n + 1 or fewer members of a finite family of closed sets in Rn have a starshaped union, then all the members of the family have a point in common. The proof relies on a topological KKM-type intersection theorem.</description>
<date>1997</date>
</dc>
</metadata>
</record>
</GetRecord>
</OAI-PMH>
