<Emphasis Type="Italic">f</Emphasis>-Vectors of Triangulated Balls |
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Authors: | Samuel Kolins |
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Institution: | 1.Department of Mathematics,Cornell University,Ithaca,USA |
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Abstract: | We describe two methods for showing that a vector cannot 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. |
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