The metric geometry of the Hamming cube and applications Academic Article uri icon

abstract

  • © 2016, Mathematical Sciences Publishers. All rights reserved. The Lipschitz geometry of segments of the infinite Hamming cube is studied. Tight estimates on the distortion necessary to embed the segments into spaces of continuous functions on countable compact metric spaces are given. As an application, the first nontrivial lower bounds on the C.K/–distortion of important classes of separable Banach spaces, where K is a countable compact space in the family {[.0; ω]; [0; ω 2], … [0, ω2]. … [0, ω2]… [0, ω2,n] … [0, ωω]} are obtained.

altmetric score

  • 0.5

author list (cited authors)

  • Baudier, F., Freeman, D., Schlumprecht, T., & Zsák, A.

citation count

  • 1

publication date

  • July 2016