Article ID Journal Published Year Pages File Type
4660277 Topology and its Applications 2009 4 Pages PDF
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