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EJC
2002
14 years 9 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 4 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 8 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
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
15 years 3 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 3 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