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  <doc>
    <id>758</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2003-11-05</completedDate>
    <publishedDate>2003-11-05</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Triangulated Manifolds with Few Vertices: Geometric 3-Manifolds</title>
    <abstract language="eng">We explicitly construct small triangulations for a number of well-known $3$-dimensional manifolds and give a brief outline of some aspects of the underlying theory of $3$-manifolds and its historical development.</abstract>
    <identifier type="serial">03-36</identifier>
    <identifier type="opus3-id">759</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7583</identifier>
    <author>Frank H. Lutz</author>
    <series>
      <title>ZIB-Report</title>
      <number>03-36</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>triangulating manifolds</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>3-manifolds</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>geometrization conjecture</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>3-dimensional geometries</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Seifert manifolds</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>torus bundles</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="57-02">Research exposition (monographs, survey articles)</collection>
    <collection role="msc" number="57M50">Geometric structures on low-dimensional manifolds</collection>
    <collection role="msc" number="57N10">Topology of general 3-manifolds [See also 57Mxx]</collection>
    <collection role="msc" number="57Q15">Triangulating manifolds</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/758/ZR-03-36.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/758/ZR-03-36.pdf</file>
  </doc>
</export-example>
