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Hom complexes of set systems
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- Jonsson, Jakob (author)
- KTH,Matematik (Inst.)
- KTH Matematik (Inst) (creator_code:org_t)
- 2013-01-07
- 2013
- English.
- In: The Electronic Journal of Combinatorics. - : The Electronic Journal of Combinatorics. - 1097-1440 .- 1077-8926. ; 20:1, s. P4-
- Journal article (peer-reviewed)
Abstract
Subject headings
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- A set system is a pair S = (V (S), Delta(S)), where Delta(S) is a family of subsets of the set V(S). We refer to the members of Delta(S) as the stable sets of S. A homomorphism between two set systems S and T is a map f : V (S) -> V(T) such that the preimage under f of every stable set of T is a stable set of S. Inspired by a recent generalization due to Engstrom of Lovasz's Hom complex construction, the author associates a cell complex Hom(S, T) to any two finite set systems S and T. The main goal of the paper is to examine basic topological and homological properties of this cell complex for various pairs of set systems.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Hom complex
- set system
- partitionable poset
Publication and Content Type
- ref (subject category)
- art (subject category)
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