Abstract
The homotopy type of the complement of a complex coordinate subspace arrangement is studied by utilising some connections between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequence is an application in commutative algebra: certain local rings are proved to be Golod, that is, all Massey products in their homology vanish.
| Original language | English |
|---|---|
| Pages (from-to) | 357-396 |
| Number of pages | 40 |
| Journal | Topology |
| Volume | 46 |
| Issue number | 4 |
| Early online date | 3 Mar 2007 |
| DOIs | |
| Publication status | Published - Sept 2007 |
Keywords
- coordinate subspace arrangements
- homotopy type
- Golod rings
- toric topology
- cube lemma
- suspensions
- rings