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» Triangulating Topological Spaces
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153
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COMPGEOM
2005
ACM
15 years 3 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...
57
Voted
ACS
2007
15 years 1 months 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
SIAMJO
2008
110views more  SIAMJO 2008»
15 years 1 months 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...
102
Voted
ACS
2004
15 years 1 months 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...
148
Voted
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