The quantitative lower bound theorem. in preparation, 2014. ,
On stellated spheres, shellable balls, lower bounds and a combinatorial criterion for tightness. ArXiv e-prints, 2011. ,
Sufficiency of McMullen's conditions for $f$-vectors of simplicial polytopes, Bulletin of the American Mathematical Society, vol.2, issue.1, pp.181-185, 1980. ,
DOI : 10.1090/S0273-0979-1980-14712-6
Generic Initial Ideals, Six Lectures on Commutative Algebra, pp.119-186978, 1998. ,
DOI : 10.1007/978-3-0346-0329-4_2
Some Aspects of the Combinatorial Theory of Convex Polytopes, Polytopes: abstract, convex and computational, pp.205-229, 1993. ,
DOI : 10.1007/978-94-011-0924-6_9
A combinatorial analogue of Poincaré's duality theorem. Canad, J. Math, vol.16, pp.517-531, 1964. ,
The maximum numbers of faces of a convex polytope, Mathematika, vol.16, issue.02, pp.179-184, 1970. ,
DOI : 10.1007/BF02771542
The numbers of faces of simplicial polytopes, Israel Journal of Mathematics, vol.115, issue.4, pp.559-570, 1971. ,
DOI : 10.1007/BF02771471
On simple polytopes, Inventiones Mathematicae, vol.28, issue.1, pp.419-444, 1993. ,
DOI : 10.1007/BF01244313
Triangulations of simplicial polytopes, Beiträge Algebra Geom, vol.45, issue.1, pp.37-46, 2004. ,
A generalized lower-bound conjecture for simplicial polytopes, Mathematika, vol.16, issue.02, pp.264-273, 1971. ,
DOI : 10.1098/rspa.1927.0078
On the generalized lower bound conjecture for polytopes and spheres, Acta Mathematica, vol.210, issue.1, pp.185-202, 2013. ,
DOI : 10.1007/s11511-013-0093-y
The number of faces of a simplicial convex polytope, Advances in Mathematics, vol.35, issue.3, pp.236-238, 1980. ,
DOI : 10.1016/0001-8708(80)90050-X
Topological finiteness for edge-vertex enumeration, Advances in Mathematics, vol.219, issue.5, pp.1722-1728, 2008. ,
DOI : 10.1016/j.aim.2008.07.010
Lectures on polytopes, Graduate Texts in Mathematics, vol.152, pp.978-979, 1995. ,
DOI : 10.1007/978-1-4613-8431-1