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What is Surgery Theory about?

Surgery theory in geometric topology, introduced by John Milnor, involves techniques to create one manifold from another by removing and replacing parts of the manifold in a controlled manner. This theory applies to differentiable, piecewise linear, and topological manifolds and is closely related to handlebody decompositions. It serves as a significant tool for classifying high-dimensional manifolds and understanding their properties through the manipulation of their homology and homotopy groups.

Author

Philipp Harland

Language

EN