Senior Thesis

Department of Mathematics
Harvey Mudd College

Micah Smukler

Harvey Mudd College Mathematics 2003

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Thesis: Geometry and Topology of the Minkowski Product
 pdf   |  ps

Thesis Advisor: Prof. Weiqing Gu
Second Reader: Prof. Francis E. Su



Geometry and Topology of the Minkowski Product

The Minkowski product is a generalization of real interval arithmetic to the complex plane. We are studying the interrelationship between geometric properties of complex sets and topological properties of their Minkowski products, as well as similar questions for higher-dimensional analogues of the Minkowski product.