Sökning: onr:"swepub:oai:DiVA.org:kth-14773" >
Bier spheres and po...
Bier spheres and posets
-
- Björner, Anders. (författare)
- KTH,Matematik (Avd.),KTH, Sweden
-
- Paffenholz, A. (författare)
- Technical University of Berlin, Germany
-
- Sjöstrand, Jonas (författare)
- KTH, Sweden
-
visa fler...
-
- Ziegler, G. M. (författare)
- Technical University of Berlin, Germany
-
visa färre...
-
KTH Matematik (Avd) (creator_code:org_t)
- 2004-09-15
- 2005
- Engelska.
-
Ingår i: Discrete & Computational Geometry. - : Springer Science and Business Media LLC. - 0179-5376 .- 1432-0444. ; 34:1, s. 71-86
- Relaterad länk:
-
https://link.springe...
-
visa fler...
-
https://doi.org/10.1...
-
https://people.kth.s...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
https://urn.kb.se/re...
-
visa färre...
Abstract
Ämnesord
Stäng
- In 1992 Thomas Bier presented a strikingly simple method to produce a huge number of simplicial (n -2)-spheres on 2n vertices, as deleted joins of a simplicial complex on n vertices with its combinatorial Alexander dual. Here we interpret his construction as giving the poset of all the intervals in a boolean algebra that cut across an ideal. Thus we arrive at a substantial generalization of Bier's construction: the Bier posets Bier(P, I) of an arbitrary bounded poset P of finite length. In the case of face posets of PL spheres this yields cellular generalized Bier spheres. In the case of Eulerian or Cohen-Macaulay posets P we show that the Bier posets Bier(P, I) inherit these properties. In the boolean case originally considered by Bier, we show that all the spheres produced by his construction are shellable, which yields many shellable spheres, most of which lack convex realization. Finally, we present simple explicit formulas for the g-vectors of these simplicial spheres and verify that they satisfy a strong form of the g-conjecture for spheres.
Ämnesord
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Nyckelord
- configurations
- polytopes
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas