✦ LIBER ✦

A remark on the cluster theorem

✍ Scribed by K. Fredenhagen

Publisher: Springer
Year: 1985
Tongue: English
Weight: 159 KB
Volume: 97
Category: Article
ISSN: 0010-3616
DOI: 10.1007/bf01213409

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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.