Short notes

Clouds with a trivial stabilizator

S. I. Bogataya^a, S. A. Bogatyi^b, V. V. Redkozubov^c, A. A. Tuzhilin<sup>b

a</sup> University of Higher School of Economics, Faculty of Economic Sciences, Moscow
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^c Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Abstract: A series of metric spaces is constructed so that the multiplication of the metric by any positive number not equal to one gives a space at the infinite Gromov–Hausdorff distance from the original space.

Key words: generalized pseudometric, cloud in generalized pseudometric space, metric spaces, Gromov–Hausdorff distance, Gromov–Hausdorff class, contractibility, similarity mapping.

UDC: 514.1

Received: 18.05.2022

DOI: 10.55959/MSU0579-9368-1-66-4-8

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2025, 80:4, 251–254