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Nested set complexes for posets and the Bier construction
Author(s):
Juliane
Lehmann
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3785-3793.
MSC (2000):
Primary 06A07;
Secondary 57Q05
Posted:
May 20, 2008
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Abstract:
We generalize the concept of combinatorial nested set complexes to posets and exhibit the topological relationship between the arising nested set complexes and the order complex of the underlying poset. In particular, a sufficient condition is given so that this relationship is actually a subdivision. We use the results to generalize the proof method of Čukić and Delucchi, so far restricted to semilattices, for a result of Björner, Paffenholz, Sjöstrand and Ziegler on the Bier construction on posets.
References:
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Additional Information:
Juliane
Lehmann
Affiliation:
Fachbereich Mathematik, Universität Bremen, 28359 Bremen, Germany
Email:
jlehmann@math.uni-bremen.de
DOI:
10.1090/S0002-9939-08-09503-8
PII:
S 0002-9939(08)09503-8
Received by editor(s):
September 19, 2007
Posted:
May 20, 2008
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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