Nonreduction of Relations in the Gromov Space to Polish Actions

Thumbnail Image

Files

non-reduction-min.pdf (260.33 KB)
Identifiers
URI: http://hdl.handle.net/10347/32174
ISSN: 0029-4527
DOI: 10.1215/00294527-2017-0026

Publication date

2018-01-08

Authors

Advisors

Tutors

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

University of Notre Dame
Metrics
Google Scholar
lacobus
Export

Research Projects

Organizational Units

Journal Issue

Abstract

We show that in the Gromov space of isometry classes of pointed proper metric spaces, the equivalence relations defined by the existence of coarse quasi-isometries or being at finite Gromov–Hausdorff distance cannot be reduced to the equivalence relation defined by any Polish action.

Description

Keywords

Gromov space| Gromov–Hausdorff metric| quasi-isometry

Bibliographic citation

Álvarez López, J.A., Candel, A. (2018). Non-reduction of relations in the Gromov space to Polish actions. "Notre Dame J. Formal Logic", vol. 59, 205-213

Relation

Has part

Has version

Is based on

Is part of

Is referenced by

Is version of

Requires

Sponsors

Spanish Ministry of Science and Innovation grants MTM2011-25656 and MTM2008-02640

Rights

© 2018 University of Notre Dame

Collections

Matemáticas