Equivariant Maps and Some Problems of the Geometry of Convex Sets

A. Yu. Volovikov

Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 83-97.

Résumé

Methods of equivariant topology are applied to some problems of convex set geometry. In particular, it is proved that a pyramid homothetic to a regular pyramid of certain type with a regular $p$-gon as the base, where $p$ is an odd prime, can be inscribed in any convex $(p+5)/2$-dimensional body.

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