General topology Metric spaces Concept
Isometry
Summary
An isometry is a map between metric spaces that keeps all distances.
Where this leads
17 pages build on this one.
- Commutant lifting theorem
- Mostow rigidity theorem
- Net of a polyhedron
- Mazur–Ulam theorem
- Expansive homeomorphism
- Ryll-Nardzewski fixed-point theorem
- Ebin's slice theorem
- Cauchy's rigidity theorem
- Moser's worm problem
- CAT(0) group
- Kuratowski embedding
- Švarc–Milnor lemma
- Equicontinuous system
- Margulis lemma
- Similarity transformation
- Lebesgue's universal covering problem
- Beckman–Quarles theorem
Further reading
- Web https://en.wikipedia.org/wiki/Isometry, lead section
About this page
| Tag | 02HPP5VCZH |
|---|---|
| URI | m2://02HPP5VCZH |
| Aliases | distance-preserving-map |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54E40 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Special cases
Results about this
Used by
- Commutant lifting theorem
- Mostow rigidity theorem
- Net of a polyhedron
- Mazur–Ulam theorem
- Expansive homeomorphism
- Ryll-Nardzewski fixed-point theorem
- Ebin's slice theorem
- Cauchy's rigidity theorem
- Moser's worm problem
- CAT(0) group
- Kuratowski embedding
- Švarc–Milnor lemma
- Equicontinuous system
- Margulis lemma
- Similarity transformation
- Lebesgue's universal covering problem
- Beckman–Quarles theorem