A Homological Lower Bound for Order Dimension of Lattices

Order

Volumn 16, Issue 2, 1999, Pages 165-170

  Reiner, Victor ^a   Welker, Volkmar ^b  

^a University of Minnesota   (United States)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

Lattices; Order complex; Order dimension; Topology of posets

Indexed keywords

EID: 0042078440     PISSN: 01678094     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006325727816     Document Type: Article

References (6)

1. Björner, A. (1994) Topological methods, in R. Graham, M. Grötschel and L. Lovász (eds.), Handbook of Combinatorics, North-Holland, Amsterdam, pp. 1819-1872.
2. Gasharov, V., Peeva, I., and Welker, V. (1999) The 1cm-lattice, Math. Res. Lett. (in press).
3. Billera, L., Edelman, P., Kahn, J., and Ziegler, G. M. (1986) Unpublished notes.
4. Munkres, J. (1984) Elements of Algebraic Topology, Benjamin/Cummings, Menlo Park, CA.
5. Reuter, K. (1990) On the order dimension of convex polytopes, Europ. J. Combin. 11, 57-63.
6. Trotter, W. (1992) Combinatorics and Partially Ordered Sets: Dimension Theory, Johns Hopkins Series in the Mathematical Sciences, Johns Hopkins University Press, Baltimore.