English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Let $M$ be a separable metric space. We say that $f=(f_n):M\to c_0$ is agood-$\lambda$-embedding if, whenever $x,y\in M$, $x\ne y$ implies$d(x,y)\le\Vert f(x)-f(y)\Vert$ and, for each $n$, $Lip(f_n)<\lambda$, where$Lip(f_n)$ denotes the Lipschitz constant of $f_n$. We prove that there existsa good-$\lambda$-embedding from $M$ into $c_0$ if and only if $M$ satisfies aninternal property called $\pi(\lambda)$. As a consequence, we obtain that forany separable metric space $M$, there exists a good-$2$-embedding from $M$ into$c_0$. These statements slightly extend former results obtained by N. Kaltonand G. Lancien, with simplified proofs.

Lipschitz Embeddings of Metric Spaces into $c_0$