NSF PAR Search | NSF Public Access Repository

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

Abstract embeddability ranks

https://doi.org/10.1016/j.exmath.2024.125563

Baudier, Florent P; Rosendal, Christian (May 2024, Expositiones Mathematicae)

Full Text Available
Geometries of topological groups

https://doi.org/10.1090/bull/1807

Rosendal, Christian (October 2023, Bulletin of the American Mathematical Society)

The paper provides an overarching framework for the study of some of the intrinsic geometries that a topological group may carry. An initial analysis is based on geometric nonlinear functional analysis, that is, the study of Banach spaces as metric spaces up to various notions of isomorphism, such as bi-Lipschitz equivalence, uniform homeomorphism, and coarse equivalence. This motivates the introduction of the various geometric categories applicable to all topological groups, namely, their uniform and coarse structure, along with those applicable to a more select class, that is, (local) Lipschitz and quasimetric structure. Our study touches on Lie theory, geometric group theory, and geometric nonlinear functional analysis and makes evident that these can all be seen as instances of a single coherent theory.
more » « less
Full Text Available
On uniform and coarse rigidity of $L^p([0,1])$

https://doi.org/10.4064/sm220603-6-8

Rosendal, Christian (January 2023, Studia Mathematica)

Full Text Available
Separation ratios of maps between Banach spaces

https://doi.org/10.5802/crmath.522

Rosendal, Christian (January 2023, Comptes Rendus. Mathématique)

Full Text Available

Search for: All records