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On the Computability of Immersions
- Epelbaum, Daniel
- Advisor(s): Manin, Fedor
Abstract
Suppose someone hands you a pair of smooth manifolds, and a smooth map between them. Can you decide whether there is an immersion homotopic to this map? We will reduce this to a question about lifting a certain bundle, and then use rational homotopy theoretic techniques to provide an algorithm when the codimension of the manifolds is odd.
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