A quantitative program for Hadwiger's covering conjecture and Borsuk's partition conjecture

Details A quantitative program for Hadwiger's covering conjecture and Borsuk's partition conjecture A quantitative program for Hadwiger's covering conjecture and Borsuk's partition conjecture

2009-11-24

arxiv.org/abs/0911.4580v2

Mathematics

Metric Geometry

17 pages, four figures

Scientific paper

In this article we encode Hadwiger's covering conjecture and Borsuk's
partition conjecture into continuous functions defined on the spaces of convex
bodies, propose a four-step program to approach them, and obtain some partial
results.

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