<?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>2026-04-17T17:35:47Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/441487" metadataPrefix="rdf">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/441487</identifier><datestamp>2024-12-25T03:43:01Z</datestamp><setSpec>com_2072_98</setSpec><setSpec>col_2072_378192</setSpec></header><metadata><rdf:RDF xmlns:rdf="http://www.openarchives.org/OAI/2.0/rdf/" xmlns:ow="http://www.ontoweb.org/ontology/1#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:ds="http://dspace.org/ds/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/rdf/ http://www.openarchives.org/OAI/2.0/rdf.xsd">
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      <dc:title>Periodic structure of transversal maps on sum-free products of spheres</dc:title>
      <dc:creator>Llibre, Jaume</dc:creator>
      <dc:creator>Sirvent, Víctor F.</dc:creator>
      <dc:subject>Transversal maps</dc:subject>
      <dc:subject>Lefschetz numbers</dc:subject>
      <dc:subject>Periodic point</dc:subject>
      <dc:subject>Product of spheres</dc:subject>
      <dc:description>In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infinitely many m's. We generalize the results for transversal maps on rational exterior spaces of rank 1.</dc:description>
      <dc:date>2019</dc:date>
      <dc:type>Article</dc:type>
      <dc:relation>Ministerio de Economía y Competitividad MTM2016-77278-P</dc:relation>
      <dc:relation>Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617</dc:relation>
      <dc:relation>European Commission 777911</dc:relation>
      <dc:relation>Journal of Difference Equations and Applications ; Vol. 25, Issue 5 (April 2019), p. 619-629</dc:relation>
      <dc:rights>open access</dc:rights>
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      <dc:rights>https://rightsstatements.org/vocab/InC/1.0/</dc:rights>
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