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Complete Metric Spaces as Projective Limits of Graphs

✍ Scribed by Holmes, R. A.


Book ID
120096186
Publisher
Oxford University Press
Year
1976
Tongue
English
Weight
186 KB
Volume
s2-12
Category
Article
ISSN
0024-6107

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Cartesian Products of Graphs and Metric
✍ S. Avgustinovich; D. Fon-Der-Flaass πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 68 KB

We prove uniqueness of decomposition of a finite metric space into a product of metric spaces for a wide class of product operations. In particular, this gives the positive answer to the long-standing question of S. Ulam: 'If U Γ— U V Γ— V with U , V compact metric spaces, will then U and V be isometr