<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-14T07:17:32Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/389416" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/389416</identifier><datestamp>2026-04-03T22:45:16Z</datestamp><setSpec>com_2072_98</setSpec><setSpec>col_2072_378192</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Cohomological characterization of relative hyperbolicity and combination theorem</dc:title>
   <dc:creator>Gautero, M.</dc:creator>
   <dc:creator>Heusener, Michael</dc:creator>
   <dc:subject>Relative hyperbolicity</dc:subject>
   <dc:subject>ℓ∞-cohomology</dc:subject>
   <dc:subject>Combination theorem</dc:subject>
   <dc:description>We give a cohomological characterization of Gromov relative hyperbolicity. As an application we prove a converse to the combination theorem for graphs of relatively hyperbolic groups given in [9]. We build upon and follow the ideas of the work of S. M. Gersten [11] about the same topics in the classical Gromov hyperbolic setting.</dc:description>
   <dc:date>2009</dc:date>
   <dc:type>Article</dc:type>
   <dc:identifier>https://ddd.uab.cat/record/49677</dc:identifier>
   <dc:identifier>urn:10.5565/PUBLMAT_53209_10</dc:identifier>
   <dc:identifier>urn:oai:ddd.uab.cat:49677</dc:identifier>
   <dc:identifier>urn:oai:raco.cat:article/140688</dc:identifier>
   <dc:identifier>urn:scopus_id:69549106088</dc:identifier>
   <dc:identifier>urn:articleid:20144350v53n2p489</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>Publicacions matemàtiques ; Vol. 53, Num. 2 (2009), p. 489-514</dc:relation>
   <dc:rights>open access</dc:rights>
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   <dc:rights>https://rightsstatements.org/vocab/InC/1.0/</dc:rights>
   <dc:format>application/pdf</dc:format>
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