Flexibility of singularities and beyond
Daniel Alvarez-Gavela
TL;DR
This paper surveys Yasha Eliashberg's work on the h-principle, emphasizing the simplification of singularities and exploring its broader implications in geometric topology.
Contribution
It highlights Eliashberg's novel approaches to simplifying singularities within the framework of the h-principle and discusses their applications.
Findings
Simplification techniques for singularities in geometric topology
Applications of the h-principle in various mathematical contexts
Insights into the philosophy of the h-principle
Abstract
We survey a selection of Yasha Eliashberg's contributions to the philosophy of the h-principle, with a focus on the simplification of singularities and its applications.
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Taxonomy
TopicsPhilosophy and Theoretical Science · Mathematical and Theoretical Analysis · Relativity and Gravitational Theory