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Frechet embedding
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Mathematics
Area of mathematics
Analysis
Functional analysis
Metric embedding
Bourgain embedding theorem
2026-09-28
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A
Frechet
embedding
uses
distance
functions
as
coordinates, typically
x
⟼
(
d
(
x
,
A
i
)
)
i
=
1
k
(1)
for selected
subsets
A
i
. Every coordinate is one-Lipschitz, and suitable
subsets
provide lower bounds on pairwise
image
distances
.
Ancestors
(7)
Bourgain embedding theorem
Metric embedding
Functional analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 155
/
3
/
Solution
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