Uniform Embeddings into Hilbert Space and a Question of Gromov

By Alexander Dranishnikov, G. Gong, Vincent Lafforgue, G. Yu. Canadian mathematical bulletin, 2002

61 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f465e2cb94a4ba4c1d1fbc6a9602678cd09336db

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. H. Reich
2. W. Lück
3. E. Guentner
4. Marius Dadarlat
5. Gilles Godefroy
6. G. Lancien
7. Arthur Bartels
8. Rufus Willett

In Mathematical Physics

1. W. Lück
2. H. Reich
3. E. Guentner
4. G. Lancien
5. Marius Dadarlat
6. Gilles Godefroy
7. Arthur Bartels
8. V. Zizler

Citations in the corpus

• Constructions preserving Hilbert space uniform embeddability of discrete groups (2003, background): “In the case of locally finite metric spaces there are a number of equivalent formulations of uniform embeddability [7], [13]; to these we add the following simple extension, which applies to any metric space and which will be our fundamental criterion for uniform embeddability.”
• The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, background): “For more information about groups admitting a uniform embedding into Hilbert space we refer to [87], [140].”
• The non-linear geometry of Banach spaces after Nigel Kalton (2012, methodology): “A first example of a locally finite space which does not coarsely embed into the Hilbert space is obtained in [25], using in particular a construction of Enflo [30].”