On existence of maps with distortion strictly less than 2
Time: 3:00PM Date: Tue 11th November 2014 Location: [map]
Abstract: We will see an example of a metric space $M$ with the following property: If $M$ embeds into a Banach space bi-Lipschitz with distortion strictly less than $2$ then $X$ linearly contains $ell_1$. A refinement of the construction of $M$ allows for a proof of the following theorem: $C([0,omega^alpha])$ does not embed bi-Lipschitz with distortion strictly less than $2$ into $C([0,omega^eta])$ if $eta(This talk is part of the Analysis series.)
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