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ORDER
2002
90views more  ORDER 2002»
15 years 5 months ago
The Priestley Separation Axiom for Scattered Spaces
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
IJRR
2010
113views more  IJRR 2010»
15 years 4 months ago
On the Topology of Discrete Strategies
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...
Michael Erdmann
WWW
2005
ACM
16 years 6 months ago
Topological spaces of the web
Gabriel Ciobanu, Danut Rusu
CJ
2010
114views more  CJ 2010»
15 years 6 months ago
Using the Relational Model to Capture Topological Information of Spaces
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...
Patrick Erik Bradley, Norbert Paul
JCT
2010
77views more  JCT 2010»
15 years 4 months ago
Obtainable sizes of topologies on finite sets
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 ...
Kári Ragnarsson, Bridget Eileen Tenner