Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in th...
Guram Bezhanishvili, Ray Mines, Patrick J. Morandi
This paper explores a topological perspective of planning in the presence of uncertainty, focusing on tasks specified by goal states in discrete spaces. The paper introduces stra...
Abstract. Motivated by research on how topology may be a helpful foundation for building information modeling (BIM), a relational database version of the notions of chain complex a...
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order ...