Sökning: onr:"swepub:oai:DiVA.org:kth-138313" >
Rees products and l...
Rees products and lexicographic shellability
-
- Linusson, Svante (författare)
- KTH,Matematik (Avd.)
-
- Shareshian, John (författare)
- Department of Mathematics, Washington University, St. Louis, Missouri, U.S.A.
-
- Wachs, Michelle L. (författare)
- Department of Mathematics, University of Miami, Coral Gables, Florida, U.S.A.
-
KTH Matematik (Avd) (creator_code:org_t)
- 2012
- 2012
- Engelska.
-
Ingår i: Journal of Combinatorics. - 2156-3527 .- 2150-959X. ; 3:3, s. 243-276
- Relaterad länk:
-
https://urn.kb.se/re...
-
visa fler...
-
https://doi.org/10.4...
-
visa färre...
Abstract
Ämnesord
Stäng
- We use the theory of lexicographic shellability to provide various examples in which the rank of the homology of a Rees product of two partially ordered sets enumerates some set of combinatorial objects, perhaps according to some natural statistic on the set. Many of these examples generalize a result of J. Jonsson, which says that the rank of the unique nontrivial homology group of the Rees product of a truncated Boolean algebra of degree n and a chain of length n−1 is the number of derangements in Sn.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas