%0 Journal Article
%T f-Vectors of Triangulated Balls
%A Samuel Kolins
%J Mathematics
%D 2009
%I arXiv
%X We describe two methods for showing that a vector can not be the f-vector of a homology d-ball. As a consequence, we disprove a conjectured characterization of the f-vectors of balls of dimension five and higher due to Billera and Lee. We also provide a construction of triangulated balls with various f-vectors. We show that this construction obtains all possible f-vectors of three and four dimensional balls and we conjecture that this result also extends to dimension five.
%U http://arxiv.org/abs/0912.2091v1