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The upper bound conjecture and Cohen-Macaulay rings. (English) Zbl 0308.52009

MSC:
52A40 Inequalities and extremum problems involving convexity in convex geometry
05A20 Combinatorial inequalities
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
57Q05 General topology of complexes
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