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» Locally definable homotopy
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APAL
2010
70views more  APAL 2010»
13 years 5 months ago
Locally definable homotopy
In [1] it was developed o-minimal homotopy for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we also extend these res...
Elías Baro, Margarita Otero
RC
2007
66views more  RC 2007»
13 years 5 months ago
Guaranteeing the Homotopy Type of a Set Defined by Non-Linear Inequalities
Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau
AAAI
2010
13 years 7 months ago
Search-Based Path Planning with Homotopy Class Constraints
Goal-directed path planning is one of the basic and widely studied problems in the field of mobile robotics. Homotopy classes of trajectories, arising due to the presence of obsta...
Subhrajit Bhattacharya
SIAMJO
2002
89views more  SIAMJO 2002»
13 years 5 months ago
A Probability-One Homotopy Algorithm for Nonsmooth Equations and Mixed Complementarity Problems
A probability-one homotopy algorithm for solving nonsmooth equations is described. This algorithm is able to solve problems involving highly nonlinear equations, where the norm of ...
Stephen C. Billups, Layne T. Watson
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, ...