On existence of maps with distortion strictly less than 2
Speaker: A. Proch'azka (UFC, Besan,con)
Date: Tuesday 11th November
Time: 3:00pm
Location: Seminar Room, Ag 1.01
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 $C([0,\omega^\beta])$ if $\beta<\alpha$. Joint work with Luis Sanchez-Gonzalez.
Series: Analysis
Social Media Links