<?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>2026-05-28T23:41:36Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/19405" metadataPrefix="qdc">https://riuma.uma.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:riuma.uma.es:10630/19405</identifier><datestamp>2026-02-03T11:52:30Z</datestamp><setSpec>com_10630_2254</setSpec><setSpec>col_10630_37959</setSpec></header><metadata><qdc:qualifieddc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:doc="http://www.lyncode.com/xoai" xmlns:qdc="http://dspace.org/qualifieddc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
   <dc:title>Homotopy nilpotency and co-nilpotency of spaces</dc:title>
   <dc:creator>Golasinski, Marek</dc:creator>
   <dc:subject>Homotopía, Teoría de</dc:subject>
   <dcterms:abstract>We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup K &lt; G. Then, the homotopy nilpotency of the loop spaces Ω(Gn,m(K)) and Ω(Vn,m(K)) of Grassmann Gn,m(K) and Stiefel Vn,m(K) manifolds for K = R, C, the field of reals or complex numbers and H, the skew R-algebra of quaternions is investigated.</dcterms:abstract>
   <dcterms:dateAccepted>2020-03-11T11:42:04Z</dcterms:dateAccepted>
   <dcterms:available>2020-03-11T11:42:04Z</dcterms:available>
   <dcterms:created>2020-03-11T11:42:04Z</dcterms:created>
   <dcterms:issued>2020-03-11</dcterms:issued>
   <dc:type>conference output</dc:type>
   <dc:identifier>https://hdl.handle.net/10630/19405</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>Homotopy nilpotency and co-ninpotency of spaces</dc:relation>
   <dc:relation>Málaga, España</dc:relation>
   <dc:relation>11/03/2020</dc:relation>
   <dc:rights>open access</dc:rights>
</qdc:qualifieddc>
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