Pseudometric spaces: From minimality to maximality in the groups of combinatorial self-similarities

The group of combinatorial self-similarities of a pseudometric space (X,d)\left(X,d) is the maximal subgroup of the symmetric group Sym(X){\rm{Sym}}\left(X) whose elements preserve the four-point equality d(x,y)=d(u,v)d\left(x,y)=d\left(u,v). Let us denote by ℐP{\mathcal{ {\mathcal I} P}} the class...

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Bibliographic Details
Main Authors: Bilet Viktoriia, Dovgoshey Oleksiy
Format: Article
Language:English
Published: De Gruyter 2023-12-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2023-0103

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