On the properties of K. Beretsky's partition constructions
Vladimir BALKAN
Broschiertes Buch

On the properties of K. Beretsky's partition constructions

(in hyperbolic spaces of high dimension)

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This book is devoted to a survey of non-normal partitions of hyperbolic space, in particular a survey of irregular partitions of K. Beretsky and some useful consequences of the proposed constructions. With the help of this partition (Beretsky's), it is easy to construct examples of non-normal partitions of n-dimensional hyperbolic space (constructive proof of the existence theorem) by equal compact convex polyhedra and these partitions cannot be transformed into regular ones by transposing the partition polyhedra. In this paper we note some possible generalisations of the construction of K. Be...