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» Triangulating Topological Spaces
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JSYML
2002
96views more  JSYML 2002»
15 years 10 days ago
Definitions of Compactness and The Axiom of Choice
We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
Omar de la Cruz, Eric J. Hall, Paul E. Howard, Jea...
COMPGEOM
2008
ACM
15 years 2 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
102
Voted
DAGSTUHL
2006
15 years 2 months ago
A convenient category of domains
We motivate and define a category of topological domains, whose objects are certain topological spaces, generalising the usual -continuous dcppos of domain theory. Our category su...
Ingo Battenfeld, Matthias Schröder, Alex Simp...
66
Voted
AMC
2004
95views more  AMC 2004»
15 years 17 days ago
On lacunary invariant sequence spaces defined by a sequence of modulus functions
Abstract. The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of lacunary convergence, invariant mean and the seque...
Vatan Karakaya, Necip Simsek
88
Voted
ORDER
2002
90views more  ORDER 2002»
15 years 10 days 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