Geometry of the space of triangulations of a compact manifold (Q1925001)
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: Geometry of the space of triangulations of a compact manifold |
scientific article; zbMATH DE number 938643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of the space of triangulations of a compact manifold |
scientific article; zbMATH DE number 938643 |
Statements
Geometry of the space of triangulations of a compact manifold (English)
0 references
9 December 1996
0 references
The set of triangulations of a compact manifold \(M\), (of dimension \(\geq 4)\) may be given a metric by making the distance between triangulations the minimum number of ``bistellar operations'' (shellings) required to transform one to the other. The author proves a number of results which decisively, effectively and quantitatively demonstrate the undecidability results of Novikov on unrecognizabilty of manifold equivalences. The existence of a large number of remotely scattered triangulations with bounded number of simplices is also proved.
0 references
shellings
0 references
set of triangulations
0 references
compact manifold
0 references
manifold equivalences
0 references
0 references
0 references
0.92774665
0 references
0.9263881
0 references
0.92008716
0 references
0.9065694
0 references
0 references
