D. W. Barnette, The minimum number of vertices of a simple polytope, Israel Journal of Mathematics, vol.2, issue.1, pp.121-125, 1971.
DOI : 10.1007/BF02771522

]. D. Ba2 and . Barnette, A proof of the lower bound conjecture for convex polytopes, Pac. J. Math, pp.46-349, 1973.

B. [. Bagchi and . Datta, On stellated spheres, shellable balls, lower bounds and a combinatorial criterion for tightness

B. [. Bagchi and . Datta, On stellated spheres and a tightness criterion for combinatorial manifolds, European Journal of Combinatorics, vol.36
DOI : 10.1016/j.ejc.2013.07.018

B. Bagchi and B. Datta, On k-stellated and k-stacked spheres

. Bl-]-l, C. W. Billera, and . Lee, A proof of the sufficiency of McMullen's conditions for f -vectors of simplicial convex polytopes, J. Combin. Theory Ser. A, pp.31-237, 1981.

]. Gr and . Gräbe, Generalized Dehn-Sommerville equations and an upper bound theorem, Beitrage Algebra Geom, pp.47-60, 1987.

G. Kalai, Some Aspects of the Combinatorial Theory of Convex Polytopes, Polytopes: Abstract, Convex, and Computational, NATO ASI Ser., Ser. C, Math. Phys. Sci, vol.440, pp.205-229, 1994.
DOI : 10.1007/978-94-011-0924-6_9

]. P. Kll, C. W. Kleinschmidt, and . Lee, On k-stacked polytopes, Discrete Math, pp.125-127, 1984.

]. W. Kü and . Kühnel, Higher-dimensional analogues of Czászár's torus, Results. Math, vol.9, pp.95-106, 1986.

]. W. Kül, G. Kühnel, and . Lassmann, Permuted difference cycles and triangulated sphere bundles, Discrete Math, pp.215-227, 1996.

. S. Kn, I. Klee, and . Novik, Centrally symmetric manifolds with few vertices, Adv. Math, vol.229, pp.487-500, 2012.

]. P. Mc and . Mcmullen, Triangulations of simplicial polytopes, Beiträge Algebra Geom, pp.37-46, 2004.

D. [. Mcmullen and . Walkup, A generalized lower-bound conjecture for simplicial polytopes, Mathematika, vol.16, issue.02, pp.264-273, 1971.
DOI : 10.1098/rspa.1927.0078

]. W. Mi and . Mitchel, Defining the boundary of a homology manifold, Proc. Amer, pp.110-509, 1990.

. S. Mn, E. Murai, and . Nevo, On the generalized lower bound conjecture for polytopes and spheres, to appear in Acta Math

]. U. Na and . Nagel, Empty simplices of polytopes and graded Betti numbers, Discrete Comput. Geom, vol.39, pp.389-410, 2008.

]. I. No and . Novik, Upper bound theorems for homology manifolds, Israel J. Math, vol.108, pp.45-82, 1998.

I. Novik and E. Swartz, Socles of Buchsbaum modules, complexes and posets, Advances in Mathematics, vol.222, issue.6, pp.2059-2084, 2009.
DOI : 10.1016/j.aim.2009.07.001

E. [. Novik and . Swartz, Abstract, Compositio Mathematica, vol.16, issue.04, pp.993-1000, 2009.
DOI : 10.1007/BF01218376

E. [. Novik and . Swartz, Applications of Klee???s Dehn???Sommerville Relations, Discrete & Computational Geometry, vol.16, issue.2, pp.261-276, 2009.
DOI : 10.1007/s00454-009-9187-x

]. P. Sc and . Schenzel, On the number of faces of simplicial complexes and the purity of Frobenius, Math. Z, vol.178, pp.125-142, 1981.

]. R. St1 and . Stanley, The number of faces of a simplicial convex polytope, Adv. in Math, vol.35, pp.236-238, 1980.

]. R. St2 and . Stanley, Combinatorics and commutative algebra, Progr. Math, vol.41, 1996.

]. E. Sw and . Swartz, Face enumeration: from spheres to manifolds, J. Eur. Math. Soc, vol.11, pp.449-485, 2009.