OurBigBook
About
$
Donate
Sign in
Sign up
Distance from a point to a closed set
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Analysis
Topological analysis
Metric space
Created
2026-09-29
Updated
2026-10-03
0
Like
0 By others
on same topic
0 Discussions
Create my own version
For
a
point
x
and
a
nonempty
closed set
A
in
a
metric space
, the
distance
d
(
x
,
A
)
=
in
f
a
∈
A
d
(
x
,
a
)
(1)
is
a
continuous function
of
x
. It vanishes exactly on
A
.
Ancestors
(6)
Metric space
Topological analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(2)
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 1
/
2F
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
11H
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version