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» Sublocales in formal topology
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SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
14 years 4 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
GLOBECOM
2010
IEEE
13 years 7 months ago
Correlation-Resilient Path Selection in Multi-Path Routing
Multi-path routing is effective to enhance network availability, by selecting multiple failure-independent paths for reaching one destination in the hope to survive individual pat...
Xin Zhang, Adrian Perrig
FOCS
2000
IEEE
14 years 1 months ago
Topological Persistence and Simplification
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
Herbert Edelsbrunner, David Letscher, Afra Zomorod...
ECAI
1998
Springer
14 years 2 months ago
Algebraic Topology for Knowledge Representation in Analogy Solving
We propose a computational model for analogy solving based on a topological formalism of representation. The source and the target analogs are represented as simplexes and the anal...
Erika Valencia, Jean-Louis Giavitto, Jean-Paul San...
HICSS
2008
IEEE
130views Biometrics» more  HICSS 2008»
14 years 4 months ago
Enterprise Modeling for Information System Development within MDA
Object-oriented analysis suggests semiformal usecase driven techniques for problem domain modeling from a computation independent viewpoint. The proposed approach called Topologic...
Janis Osis, Erika Asnina