Infinitely iterated wreath products of metric spaces

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Oliynyk, B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152263
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Infinitely iterated wreath products of metric spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 48–62. — Бібліогр.: 14 назв. — англ.

The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered.