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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