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  <doc>
    <id>386</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1999-01-27</completedDate>
    <publishedDate>1999-01-27</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Generalized Baues Problem for Cyclic Polytopes II</title>
    <abstract language="eng">Given an affine surjection of polytopes $\pi: P \to Q$, the Generalized Baues Problem asks whether the poset of all proper polyhedral subdivisions of $Q$ which are induced by the map $\pi$ has the homotopy type of a sphere. We extend earlier work of the last two authors on subdivisions of cyclic polytopes to give an affirmative answer to the problem for the natural surjections between cyclic polytopes $\pi: C(n,d') \to C(n,d)$ for all $1 \leq d &lt; d' &lt; n$.</abstract>
    <identifier type="serial">SC-98-43</identifier>
    <identifier type="opus3-id">387</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-3862</identifier>
    <enrichment key="SourceTitle">Appeared in: Publications de l'Institut Mathematique, Belgrade 66 (1999) 3-15</enrichment>
    <author>Christos A. Athanasiadis</author>
    <author>Jörg Rambau</author>
    <author>Francisco Santos</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-98-43</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Generalized Baues Problem</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Polyhedral Subdivisions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Induced Subdivisions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Poset</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Spherical</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Cyclic Polytopes</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Bistellar Operations</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="52B99">None of the above, but in this section</collection>
    <collection role="msc" number="52C22">Tilings in n dimensions [See also 05B45, 51M20]</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="projects" number="ZIB-PolSub">ZIB-PolSub</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/386/SC-98-43.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/386/SC-98-43.pdf</file>
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