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A COARSELY INVARIANT NOTION OF ROUNDNESS

Year 2015, , 154 - 167, 30.10.2015
https://doi.org/10.36890/iejg.592303

Abstract


References

  • [1] Dranishnikov, A.N., Gong, G., Lafforgue, V., and Yu, G. Uniform embeddings into hilbert space and a question of gromov, Canadian Mathematical Bulletin, 45(2002), no. 1, 60–70.
  • [2] Enflo, P., On a problem of Smirnov, Arkiv f¨or Matematik, 8 (1970), no. 2, 107–109.
  • [3] Ferry, S.C., Ranicki, A. and Rosenberg, J., Novikov conjectures, index theorems and rigidity: Oberwolfach 1993, vol. 1, Cambridge Univ Pr, 1995.
  • [4] Gromov, M., Geometric group theory, Asymptotic invariants of infinite groups, vol. 2, Cam- bridge University Press, vol. 182, 1993.
  • [5] Lafont, J.F., and Prassidis, S., Roundness properties of groups, Geometriae Dedi- cata,117(2006), no. 1, 137–160.
  • [6] Lennard, C.J., Tonge, A.M., and Weston, A., Generalized roundness and negative type, Michigan Math. J, 44(1997), no. 1, 37–45.
  • [7] Nowak, P.W., Coarse embeddings of metric spaces into banach spaces, Proceedings of the American Mathematical Society, 133(2005), no. 9, 2589–2596.
  • [8] Ostrovskii, M.I., Coarse embeddability into Banach spaces, Topology Proc., 33 (2009), 163– 183.
  • [9] Ostrovskii, M.I., Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space, C. R. Acad. Bulgare Sci. 62(2009), no. 4, 415–420.
  • [10] Roe, J., Lectures on coarse geometry, Amer Mathematical Society, vol. 31, 2003.
  • [11] Yu, G., The coarse baum–connes conjecture for spaces which admit a uniform embedding into hilbert space, Inventiones Mathematicae, 139(2000), no. 1, 201–240.
Year 2015, , 154 - 167, 30.10.2015
https://doi.org/10.36890/iejg.592303

Abstract

References

  • [1] Dranishnikov, A.N., Gong, G., Lafforgue, V., and Yu, G. Uniform embeddings into hilbert space and a question of gromov, Canadian Mathematical Bulletin, 45(2002), no. 1, 60–70.
  • [2] Enflo, P., On a problem of Smirnov, Arkiv f¨or Matematik, 8 (1970), no. 2, 107–109.
  • [3] Ferry, S.C., Ranicki, A. and Rosenberg, J., Novikov conjectures, index theorems and rigidity: Oberwolfach 1993, vol. 1, Cambridge Univ Pr, 1995.
  • [4] Gromov, M., Geometric group theory, Asymptotic invariants of infinite groups, vol. 2, Cam- bridge University Press, vol. 182, 1993.
  • [5] Lafont, J.F., and Prassidis, S., Roundness properties of groups, Geometriae Dedi- cata,117(2006), no. 1, 137–160.
  • [6] Lennard, C.J., Tonge, A.M., and Weston, A., Generalized roundness and negative type, Michigan Math. J, 44(1997), no. 1, 37–45.
  • [7] Nowak, P.W., Coarse embeddings of metric spaces into banach spaces, Proceedings of the American Mathematical Society, 133(2005), no. 9, 2589–2596.
  • [8] Ostrovskii, M.I., Coarse embeddability into Banach spaces, Topology Proc., 33 (2009), 163– 183.
  • [9] Ostrovskii, M.I., Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space, C. R. Acad. Bulgare Sci. 62(2009), no. 4, 415–420.
  • [10] Roe, J., Lectures on coarse geometry, Amer Mathematical Society, vol. 31, 2003.
  • [11] Yu, G., The coarse baum–connes conjecture for spaces which admit a uniform embedding into hilbert space, Inventiones Mathematicae, 139(2000), no. 1, 201–240.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Alexander Basyrov This is me

Matthew Horak This is me

Publication Date October 30, 2015
Published in Issue Year 2015

Cite

APA Basyrov, A., & Horak, M. (2015). A COARSELY INVARIANT NOTION OF ROUNDNESS. International Electronic Journal of Geometry, 8(2), 154-167. https://doi.org/10.36890/iejg.592303
AMA Basyrov A, Horak M. A COARSELY INVARIANT NOTION OF ROUNDNESS. Int. Electron. J. Geom. October 2015;8(2):154-167. doi:10.36890/iejg.592303
Chicago Basyrov, Alexander, and Matthew Horak. “A COARSELY INVARIANT NOTION OF ROUNDNESS”. International Electronic Journal of Geometry 8, no. 2 (October 2015): 154-67. https://doi.org/10.36890/iejg.592303.
EndNote Basyrov A, Horak M (October 1, 2015) A COARSELY INVARIANT NOTION OF ROUNDNESS. International Electronic Journal of Geometry 8 2 154–167.
IEEE A. Basyrov and M. Horak, “A COARSELY INVARIANT NOTION OF ROUNDNESS”, Int. Electron. J. Geom., vol. 8, no. 2, pp. 154–167, 2015, doi: 10.36890/iejg.592303.
ISNAD Basyrov, Alexander - Horak, Matthew. “A COARSELY INVARIANT NOTION OF ROUNDNESS”. International Electronic Journal of Geometry 8/2 (October 2015), 154-167. https://doi.org/10.36890/iejg.592303.
JAMA Basyrov A, Horak M. A COARSELY INVARIANT NOTION OF ROUNDNESS. Int. Electron. J. Geom. 2015;8:154–167.
MLA Basyrov, Alexander and Matthew Horak. “A COARSELY INVARIANT NOTION OF ROUNDNESS”. International Electronic Journal of Geometry, vol. 8, no. 2, 2015, pp. 154-67, doi:10.36890/iejg.592303.
Vancouver Basyrov A, Horak M. A COARSELY INVARIANT NOTION OF ROUNDNESS. Int. Electron. J. Geom. 2015;8(2):154-67.