On uniqueness of manifold posets and locally Cohen-Macaulay posets (Q1915879)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On uniqueness of manifold posets and locally Cohen-Macaulay posets |
scientific article; zbMATH DE number 894946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniqueness of manifold posets and locally Cohen-Macaulay posets |
scientific article; zbMATH DE number 894946 |
Statements
On uniqueness of manifold posets and locally Cohen-Macaulay posets (English)
0 references
21 August 1996
0 references
The author considers the uniqueness of a ranked poset \(P\) with respect to its order complex \(\Delta (P)\). In particular, he shows that the uniqueness (up to duality) holds for any connected manifold lattice (i.e., a poset \(P\) such that \(P^* = P\cup \widehat 0\cup\widehat 1\) is a lattice and \(\Delta (P)\) is a triangulation of a manifold). Moreover, if two manifold posets have the same order complex, they are sphere posets.
0 references
Cohen-Macaulay posets
0 references
ranked poset
0 references
order complex
0 references
manifold lattice
0 references
triangulation
0 references
manifold posets
0 references
sphere posets
0 references
0.6983959078788757
0 references
0.6958005428314209
0 references
