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JSYML
2002
96views more  JSYML 2002»
13 years 7 months 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...
DAGSTUHL
2006
13 years 9 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...
AMC
2004
95views more  AMC 2004»
13 years 7 months 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
ORDER
2002
90views more  ORDER 2002»
13 years 7 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
CMPB
2007
140views more  CMPB 2007»
13 years 7 months ago
Integrating digital topology in image-processing libraries
This paper describes a method to integrate digital topology informations in image processing libraries. This additional information allows a library user to write algorithms respe...
Julien Lamy