Luis E. Sánchez-González

activity

20132026

most citedLow distortion embeddings into Asplund Banach spaces

4 citations · 7 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.FA2014

Low distortion embeddings between $C (K)$ spaces

Antonín Procházka, Luis Sánchez-González

We show that, for each ordinal $α < ω_{1}$ , the space $C ([0, ω^{α}])$ does not embed into $C (K)$ with distortion strictly less than $2$ unless $K^{(α)} \neq = \emptyset$ .

math.FA2013

Global inversion of nonsmooth mappings using pseudo-Jacobian matrices

Jesús A. Jaramillo, Oscar Madiedo, Luis Sánchez-González

We study the global inversion of a continuous nonsmooth mapping $f : R^{n} \to R^{n}$ , which may be non-locally Lipschitz. To this end, we use the notion of ps…

math.FA2013★ 4 cited

Low distortion embeddings into Asplund Banach spaces

Antonín Procházka, Luis Sánchez-González

We give a simple example of a countable metric space $M$ that does not embed bi-Lipschitz with distortion strictly less than 2 into any Asplund space. Actually, if $M$ embeds with…

Low distortion embeddings between C(K) spaces

Global inversion of nonsmooth mappings using pseudo-Jacobian matrices

Low distortion embeddings into Asplund Banach spaces

Low distortion embeddings between $C (K)$ spaces