A topological obstruction for small-distortion embeddability into spaces of continuous functions on countable compact metric spaces

Florent Pierre Baudier

A topological obstruction for small-distortion embeddability into spaces of continuous functions on countable compact metric spaces

Functional Analysis 2013-05-20 v1

Authors: Florent Pierre Baudier

Abstract

We give the first lower bound on the $\scr C(K)$ -distortion of the class of separable Banach spaces, for $K$ a countable compact in the family $\{ [0,\omega],[0,\omega\cdot2],\cdots, [0,\omega^2], \cdots, [0,\omega^k\cdot n],\cdots,[0,\omega^\omega]\}$ .

Keywords

banach spaces embeddability distortion continuous functions countable compact metric spaces topological obstruction separable banach spaces

Cite

@article{arxiv.1305.4025,
  title  = {A topological obstruction for small-distortion embeddability into spaces of continuous functions on countable compact metric spaces},
  author = {Florent Pierre Baudier},
  journal= {arXiv preprint arXiv:1305.4025},
  year   = {2013}
}

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11 pages

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