Paper Info
Title
The Lattice Of Flats Of A Boolean Representable Simplicial Complex
Abstract
It is shown that the lattices of flats of boolean representable simplicial complexes are always atomistic, but semimodular if and only if the complex is a matroid. A canonical construction is introduced for arbitrary finite atomistic lattices, providing a characterization of the lattices of flats of boolean representable simplicial complexes and a decidability condition. We remark that every finite lattice occurs as the lattice of flats of some simplicial complex.
Year
DOI
Venue
2018
10.1142/S0218196718400131
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
DocType
Volume
Simplicial complex, hereditary collection, boolean representable, lattice of flats, atomistic lattice
Journal
28
Issue
ISSN
Citations 
8
0218-1967
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Stuart W. Margolis110218.14
John Rhodes28920.04
Pedro V. Silva314129.42