Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost bi--Lipschitz embeddings using covers of balls centred at the
  origin   In 2010, Olson \& Robinson [Transactions of the American Mathematical
Society, 362(1), 145-168] introduced the notion of an almost homogeneous metric
space and showed that if $X$ is a subset of a Hilbert space such that $X-X$ is
almost homogeneous, then $X$ admits almost bi--Lipschitz embeddings into
Euclidean spaces. In this paper, we extend this result and we show that if $X$
is a subset of a Banach space such that $X-X$ is almost homogeneous at the
origin, then $X$ can be embedded in a Euclidean space in an almost
bi--Lipschitz way.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex