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  <doc>
    <id>786</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-04-26</completedDate>
    <publishedDate>2004-04-26</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Triangulated Manifolds with Few Vertices: Centrally Symmetric Spheres and Products of Spheres</title>
    <abstract language="eng">The aim of this paper is to give a survey of the known results concerning centrally symmetric polytopes, spheres, and manifolds. We further enumerate nearly neighborly centrally symmetric spheres and centrally symmetric products of spheres with dihedral or cyclic symmetry on few vertices, and we present an infinite series of vertex-transitive nearly neighborly centrally symmetric 3-spheres.</abstract>
    <identifier type="serial">04-11</identifier>
    <identifier type="opus3-id">787</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7863</identifier>
    <author>Frank H. Lutz</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-11</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>centrally symmetric polytopes</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>crosspolytope</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>combinatorial manifolds</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>products of spheres</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="52B05">Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx]</collection>
    <collection role="msc" number="52B12">Special polytopes (linear programming, centrally symmetric, etc.)</collection>
    <collection role="msc" number="57Q15">Triangulating manifolds</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/786/ZR-04-11.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/786/ZR-04-11.pdf</file>
  </doc>
</export-example>
