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EJC
2002
14 years 11 months ago
Homology of Newtonian Coalgebras
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 ...
Richard Ehrenborg, Margaret Readdy
CCA
2009
Springer
15 years 6 months ago
Computability of Homology for Compact Absolute Neighbourhood Retracts
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...
Pieter Collins
SODA
2010
ACM
164views Algorithms» more  SODA 2010»
14 years 10 months ago
Hardness Results for Homology Localization
: © Hardness Results for Homology Localization Chao Chen, Daniel Freedman HP Laboratories HPL-2009-374 algebraic topology, homology, localization We address the problem of localiz...
Chao Chen, Daniel Freedman
79
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SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
15 years 6 months ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson
CIBCB
2005
IEEE
15 years 5 months ago
The Homology Kernel: A Biologically Motivated Sequence Embedding into Euclidean Space
— Part of the challenge of modeling protein sequences is their discrete nature. Many of the most powerful statistical and learning techniques are applicable to points in a Euclid...
Eleazar Eskin, Sagi Snir