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JMIV
2006
78views more  JMIV 2006»
13 years 8 months ago
Axiomatic Digital Topology
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological space...
Vladimir Kovalevsky
INFOCOM
2010
IEEE
13 years 7 months ago
Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces
In this paper we show that complex (scale-free) network topologies naturally emerge from hyperbolic metric spaces. The hyperbolic geometry can be used to facilitate maximally efï¬...
Fragkiskos Papadopoulos, Dmitri V. Krioukov, Mari&...
JLP
2008
79views more  JLP 2008»
13 years 8 months ago
A Hofmann-Mislove theorem for bitopological spaces
We present a Stone duality for bitopological spaces in analogy to the duality between topological spaces and frames, and discuss the resulting notions of sobriety and spatiality. ...
Achim Jung, M. Andrew Moshier
ENTCS
2002
105views more  ENTCS 2002»
13 years 8 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
ICALP
2010
Springer
13 years 10 months ago
Noetherian Spaces in Verification
Abstract. Noetherian spaces are a topological concept that generalizes well quasiorderings. We explore applications to infinite-state verification problems, and show how this stimu...
Jean Goubault-Larrecq