Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660277 | Topology and its Applications | 2009 | 4 Pages |
Abstract
We show that there is a 1-dimensional (countable) non-spectral poset X such that for all x≠y∈X, ↑x∩↑y and ↓x∩↓y are finite subsets. On the other hand, we obtain some sufficient conditions for posets to be spectral.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology