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arxiv: 0709.3265 · v1 · submitted 2007-09-20 · 🧮 math.CO

Algebraic Shifting and f-Vector Theory

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keywords algebraicf-vectorshiftingsimplicialtheoryapplicationsapproachescomplexes
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This thesis focuses on algebraic shifting and its applications to f-vector theory of simplicial complexes and more general graded posets. In particular, several approaches and partial results concerning the g-conjecture for simplicial spheres are presented here.

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