<?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>2026-05-27T23:34:44Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/19405" metadataPrefix="mods">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><mods:mods xmlns:doc="http://www.lyncode.com/xoai" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
   <mods:name>
      <mods:namePart>Golasinski, Marek</mods:namePart>
   </mods:name>
   <mods:extension>
      <mods:dateAvailable encoding="iso8601">2020-03-11T11:42:04Z</mods:dateAvailable>
   </mods:extension>
   <mods:extension>
      <mods:dateAccessioned encoding="iso8601">2020-03-11T11:42:04Z</mods:dateAccessioned>
   </mods:extension>
   <mods:originInfo>
      <mods:dateIssued encoding="iso8601">2020-03-11</mods:dateIssued>
   </mods:originInfo>
   <mods:identifier type="uri">https://hdl.handle.net/10630/19405</mods:identifier>
   <mods: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.</mods:abstract>
   <mods:language>
      <mods:languageTerm>eng</mods:languageTerm>
   </mods:language>
   <mods:accessCondition type="useAndReproduction">open access</mods:accessCondition>
   <mods:subject>
      <mods:topic>Homotopía, Teoría de</mods:topic>
   </mods:subject>
   <mods:titleInfo>
      <mods:title>Homotopy nilpotency and co-nilpotency of spaces</mods:title>
   </mods:titleInfo>
   <mods:genre>conference output</mods:genre>
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