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Realization of posets
Ossona De Mendez, Patrice
HAL, hal-00005629 / Harvested from HAL
Text on HAL
We prove a very general representation theorem for posets and, as a corollary, deduce that any abstract simplicial complex S has a geometric realization in the Euclidean space of dimension P(S)-1, where P(S) is the Dushnik-Miller dimension of the face order of S.
Publié le : 2002-07-05
Classification:  poset dimension,  geometric convexity,  06A07,  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00005629,
     author = {Ossona De Mendez, Patrice},
     title = {Realization of posets},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00005629}
}

Ossona De Mendez, Patrice. Realization of posets. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005629/