Abstract
We provide the first examples of minimal free resolutions of monomial ideals which cannot be supported by any CW-complex. Their existence answers negatively the fundamental question of whether every monomial ideal admits a minimal cellular resolution.
| Original language | English |
|---|---|
| Pages (from-to) | 102-114 |
| Number of pages | 13 |
| Journal | Journal of Algebra |
| Volume | 319 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2008 |
| Externally published | Yes |
Keywords
- Resoliution of monomial ideals
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