This article is cited in 1 paper

RESEARCH ARTICLE

Infinitely iterated wreath products of metric spaces

B. Oliynyk

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Kyiv, 01033, Ukraine

Abstract: 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.

Keywords: Metric space, Wreath product, Isometry group.

MSC: 54E40, 54B10, 54H15, 20E22

Received: 20.07.2012
Revised: 16.10.2012

Language: English

Bibliographic databases:

•