Algebraic Shifting and f-Vector Theory

Mathematics – Combinatorics

Scientific paper

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PhD thesis. The results in Chapter 4 will be included in a future paper. Most (but not all) of the results obtained in the oth

Scientific paper

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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