Atlas home || Conferences | Abstracts | about Atlas

Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

View Abstracts
Conference Homepage

Dimension of rigid sets
by
Irmina Herburt
Depatrment of Mathematics and Information Science, Warsaw University of Technology

We say that a subset A of a metric space X is rigid in X if every homeomorphism h\colon A --> h(A) subset or equal X which preserves the lenhts of arcs is an isometry.

We shall review results concerning dimension of rigid sets in Rn (V. Alexandrov 1993, I. Herburt 1994, I. Herburt & S. Ungar 1999) and state some open problems.

Date received: February 12, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-20.