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ENTCS
2002
105views more  ENTCS 2002»
13 years 10 months ago
Fixed points in digital topology (via Helly posets)
Abstract. We extend some of our previous results on fixed points of graph multifunctions to posets. The posets of most interest here are the (finite) Khalimsky spaces, in their spe...
Rueiher Tsaur, Michael B. Smyth
MLQ
2010
226views more  MLQ 2010»
13 years 9 months ago
The Ultrafilter Closure in ZF
: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
Gonçalo Gutierres
ORDER
2007
123views more  ORDER 2007»
13 years 10 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
AIML
2006
14 years 8 days ago
Dynamic topological logics over spaces with continuous functions
Dynamic topological logics are combinations of topological and temporal modal logics that are used for reasoning about dynamical systems consisting of a topological space and a con...
Boris Konev, Roman Kontchakov, Frank Wolter, Micha...
AML
2011
190views Mathematics» more  AML 2011»
13 years 2 months ago
Topological aspects of the Medvedev lattice
We study the Medvedev degrees of mass problems with distinguished topological properties, such as denseness, closedness, or discreteness. We investigate the sublattices generated ...
Andrew E. M. Lewis, Richard A. Shore, Andrea Sorbi