New combinatorial descriptions of the triangulations of cyclic polytopes and the second higher Stasheff-Tamari posets

Order

Volumn 19, Issue 4, 2002, Pages 327-342

  Thomas, Hugh ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

2 dimension; Cyclic polytopes; Higher Stasheff Tamari posets; Triangulations

Indexed keywords

EID: 0141447236     PISSN: 01678094     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022851226643     Document Type: Article

References (7)

1. Edelman, P. and Reiner, V.: The higher Stasheff-Tamari posets, Mathematika 43 (1996), 127-154.
2. Grünbaum, B.: Convex Polytopes, Interscience, London, 1967.
3. Huang, S. and Tamari, D.: Problems of associativity: A simple proof of the lattice property of systems ordered by a semi-associative law, J. Combin. Theory Ser A 13(1) (1972), 7-13.
4. Kapranov, M. and Voevodsky, V.: Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results), Cahiers Topologie Géom. Différentielle Catég. 32(1) (1991), 11-27.
5. Rambau, J.: Triangulations of cyclic polytopes and the higher Bruhat orders, Mathematika 44 (1997), 162-194.
6. Rambau, J. and Santos, F.: The generalized Baues problem for cyclic polytopes I, European J. Combin. 21 (2000), 65-83.
7. Trotter, W.: Combinatorics and Partially Ordered Sets. Dimension Theory, Johns Hopkins Ser. Math. Sci., John Hopkins University Press, Baltimore, 1992.