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Maps of finite powers of metric spaces (recursive conditions for spaces at work)

✍ Scribed by Věra Trnková

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
195 KB
Volume
108
Category
Article
ISSN
0166-8641

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✦ Synopsis

Let K 1 or K 2 or K 3 be the category of all nonexpanding or uniformly continuous or continuous maps of finite powers X, X 2 , . . . of a metric space X. We clarify when the initial segments of these categories are isomorphic. The core of the proofs are constructions which are "unfoldings" of suitable recursive conditions for spaces.

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