609 search results - page 2 / 122 » Computation of Homology Groups and Generators |
105
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COCOON
2010
Springer
15 years 6 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...
123
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CORR
2008
Springer
15 years 1 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...
112
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CCA
2009
Springer
15 years 8 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...
102
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ESA
2010
Springer
15 years 2 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...
104
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EJC
2002
15 years 1 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 ...