Generalized Dehn-Sommerville equations and an upper bound theorem

zbMath0623.52004MaRDI QIDQ1091611

Hans-Gert Gräbe

Publication date: 1987

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/138376

zbMATH Keywords

upper bound theoremhomology manifoldsDehn-Sommerville equationsnumbers of faces of simplicial polytopes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Abstract complexes in algebraic topology (55U05) Polytopes and polyhedra (52Bxx)

Related Items (8)

Stanley-Reisner rings of simplicial complexes with a free action by an abelian group ⋮ A duality in Buchsbaum rings and triangulated manifolds ⋮ Revisiting generalizations of the Dehn-Sommerville relations ⋮ Algebraic \(h\)-vectors of simplicial complexes through local cohomology. I ⋮ \(f\)-vectors of triangulated balls ⋮ Centrally symmetric manifolds with few vertices ⋮ Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums ⋮ On \(r\)-stacked triangulated manifolds

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