Abstract
A 3-pseudomanifold is a finite connected simplicial 3-complex K such that every triangle inK belongs to precisely two 3-simplices of K the link of eveiy edge in K is a Circuit, and the link of every vertex inK is a closed 2-manifold. It is proved that for every finite set 2 of closed 2-mani- folds, there exists a 3-pseudomanifold K such that the link of every vertex in K is homeomorphic to some S E 2, and every S E 2 is homeomorphic to the link of some vertex in K.
| Original language | English |
|---|---|
| Pages (from-to) | 213-236 |
| Number of pages | 24 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 241 |
| DOIs | |
| State | Published - 1 Jan 1978 |
Keywords
- 2-manifold
- 3-manifold
- 3-pseudomanifold
- Assembling
- Automorphism-group
- Convex polytope
- F-vector
- Finite field
- Gale-diagram
- Link
- Neighborly complex
- Nerve-graph
- Projective transformation
- Simplicial complex
- Star
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics