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Discrete versions of the Beckman—Quarles theorem

✍ Scribed by A. Tyszka

Publisher
Springer
Year
2000
Tongue
English
Weight
330 KB
Volume
59
Category
Article
ISSN
0001-9054

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📜 SIMILAR VOLUMES

A remark on the Beckman/Quarles theorem
A remark on the Beckman/Quarles theorem
✍ Herbert Hotje 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 87 KB

BQ) In the distance space (M,d :M ×M -~ A) let k E A and f :M --+M be given such that for all a,b E Then f is an isometry. The determination of the possible f for a given distance space is called a theorem of Beckman/Quarles type. Here (BQ) is studied for the case of euclidean planes.