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Metric‐preserving mappings

 

作者: Harold Bowman,   RohanJ. Dalpatadu,  

 

期刊: International Journal of Mathematical Education in Science and Technology  (Taylor Available online 1992)
卷期: Volume 23, issue 5  

页码: 709-714

 

ISSN:0020-739X

 

年代: 1992

 

DOI:10.1080/0020739920230509

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

It is seen that Ulam's conjecture ‘ifdis a metric on Rnwhich induces the usual topology on Rn, then the set of bijective mappings in Rnwhich preservedis a group under composition and is isomorphic to a subgroup of the group of mappings which preserve the usual metric’, holds in the cases studied above.

 

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