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» Homotopy in Digital Spaces
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INFOCOM
2010
IEEE
13 years 3 months ago
Resilient Routing for Sensor Networks Using Hyperbolic Embedding of Universal Covering Space
—We study how to characterize the families of paths between any two nodes s, t in a sensor network with holes. Two paths that can be deformed to one another through local changes...
Wei Zeng, Rik Sarkar, Feng Luo 0002, Xianfeng Gu, ...
ACS
2004
13 years 5 months ago
Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new hom...
Ronald Brown, George Janelidze
DAM
2004
73views more  DAM 2004»
13 years 5 months ago
Digital homotopy with obstacles
Rafael Ayala, Eladio Domínguez, Angel R. Fr...
ORDER
2010
96views more  ORDER 2010»
13 years 2 days ago
On Homotopy Types of Alexandroff Spaces
Michal Jerzy Kukiela
CCCG
2009
13 years 6 months ago
On the Height of a Homotopy
Given 2 homotopic curves in a topological space, there are several ways to measure similarity between the curves, including Hausdorff distance and Fr
Erin W. Chambers, David Letscher