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ORDER
2002
90views more  ORDER 2002»
13 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
CAGD
2010
118views more  CAGD 2010»
13 years 10 months ago
Topology of 2D and 3D rational curves
In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the p...
Juan Gerardo Alcázar, Gema María D&i...
ENTCS
2010
94views more  ENTCS 2010»
13 years 10 months ago
Future Path-components in Directed Topology
The global states of complex systems often form pospaces, topological spaces equipped with compatible partial orders reflecting causal relationships between the states. The calcul...
Eric Goubault, Emmanuel Haucourt, Sanjeevi Krishna...
TIME
2008
IEEE
14 years 4 months ago
Moving Spaces
Boolean contact algebras constitute a convenient approach to a region based theory of space. In this paper we want to extend this approach to regions moving in time - called timed...
Ivo Düntsch, Michael Winter
ORDER
2007
123views more  ORDER 2007»
13 years 9 months ago
2-Dimension from the Topological Viewpoint
In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point ...
Jonathan Ariel Barmak, Elias Gabriel Minian