609 search results - page 2 / 122 » Computation of Homology Groups and Generators |
COCOON
2010
Springer
13 years 10 months ago
2010
Springer
The persistent homology provides a mathematical tool to describe “features” in a principled manner. The persistence algorithm proposed by Edelsbrunner et al. [9] can compute n...
CORR
2008
Springer
13 years 5 months ago
2008
Springer
We develop a method for measuring homology classes. This involves three problems. First, we define the size of a homology class, using ideas from relative homology. Second, we defi...
CCA
2009
Springer
13 years 12 months ago
2009
Springer
In this note we discuss the information needed to compute the homology groups of a topological space. We argue that the natural class of spaces to consider are the compact absolut...
ESA
2010
Springer
13 years 6 months ago
2010
Springer
We define the robustness of a level set homology class of a function f : X R as the magnitude of a perturbation necessary to kill the class. Casting this notion into a group theor...
EJC
2002
13 years 5 months ago
2002
Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in ...