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...
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 |
Similar Items
-
Quasi-pseudometric properties of the Nikodym-Saks space
by: Jesús Ferrer
Published: (2003-10-01) -
Fuzzy Cluster Analysis: Pseudometrics and Fuzzy Clusters
by: Iryna Riasna
Published: (2023-04-01) -
★-quasi-pseudometrics on algebraic structures
by: Shi-Yao He, et al.
Published: (2023-10-01) -
On w-Isbell-convexity
by: Olivier Olela Otafudu, et al.
Published: (2022-04-01) -
A Novel 2D Clustering Algorithm Based on Recursive Topological Data Structure
by: Ismael Osuna-Galán, et al.
Published: (2022-04-01)