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» Triangulating Topological Spaces
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145
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COMPGEOM
2005
ACM
15 years 2 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
55
Voted
ACS
2007
15 years 24 days ago
Axioms for Sequential Convergence
: It is of general knowledge that those (ultra)filter convergence relations coming from a topology can be characterized by two natural axioms. However, the situation changes consi...
Gonçalo Gutierres, Dirk Hofmann
79
Voted
SIAMJO
2008
110views more  SIAMJO 2008»
15 years 17 days ago
Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions
We provide a rule to calculate the subdifferential of the pointwise supremum of an arbitrary family of convex functions defined on a real locally convex topological vector space. ...
Abderrahim Hantoute, Marco A. López, Consta...
100
Voted
ACS
2004
15 years 16 days ago
Components of the Fundamental Category
Inthis article westudy the fundamental category (Goubault and Raussen, 2002 Goubault, 2002) of a partially ordered topological space (Nachbin, 1965 Johnstone, 1982), as arising in ...
Lisbeth Fajstrup, Martin Raußen, Eric Goubau...
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
15 years 6 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li