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ORDER
2002
90views more  ORDER 2002»
14 years 9 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»
14 years 8 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
15 years 10 months ago
Topological spaces of the web
Gabriel Ciobanu, Danut Rusu
CJ
2010
114views more  CJ 2010»
14 years 10 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»
14 years 8 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