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Mathematics, Physics and Pure Sciences


Equivalence Relation among Sub-manifolds of Punctured Euclidean Spaces with Application to Robot Path Planning

In this project we investigate certain equivalence classes (mainly homology and homotopy) of sub-manifolds of Euclidean spaces punctured by arbitrary-shaped obstacles, and ways of computing invariants for them. We also investigate its application in robot path planning with topological constraints.

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Mathematics Research Projects

Page last modified on February 23, 2011, at 04:38 PM EST.
(cc) Subhrajit Bhattacharya