Abstract of a paper by Sheng Zhang
This is an announcement for the paper "Coarse quotient mappings between metric spaces" by Sheng Zhang. Abstract: We give a definition of coarse quotient mapping and show that several results for uniform quotient mapping also hold in the coarse setting. In particular, we prove that any Banach space that is a coarse quotient of $L_p\equiv L_p[0,1]$, $1<p<\infty$, is isomorphic to a linear quotient of $L_p$. It is also proved that $\ell_q$ is not a coarse quotient of $\ell_p$ for $1<p<q<\infty$ using Rolewicz's property ($\beta$). Archive classification: math.FA math.MG Submitted from: z1986s@math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1403.1934 or http://arXiv.org/abs/1403.1934
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