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Asymptotic geometry of Banach spaces and uniform quotient maps

October 19, 2011
Keywords:
  • embedding theorems
  • geometric group theory
  • Banach space
  • uniform convergence and topology
  • ell_p spaces
MSC:
  • 54C25
  • 46-xx
  • 46Bxx
  • 46B20
  • 20F69
  • 20F65
  • 20Fxx
Abstract
We consider the conditions under which the existence of a uniform quotient map between two given Banach spaces is not possible. The main ingredient comes from the observation that the modulus for the property beta of Rolewicz for the space ell_p (1