Dissections of convex sets and homotopy types of posets

DOI10.1016/0001-8708(85)90112-4zbMath0582.52004MaRDI QIDQ6344542

Marilena Barnabei, Andrea Brini

Publication date: 1985

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Möbius functionhomotopy typearrangement of hyperplanesconvex settopological dissection

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) PL-topology (57Q99)

Related Items

The face lattice of hyperplane arrangements

Cites Work

• Homotopy type of posets and lattice complementation
• Homotopy type and Euler characteristic of partially ordered sets
• Some homological properties of partially ordered sets
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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