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Some mapping theorems for extensional dimension

โœ Scribed by Michael Levin; Wayne Lewis


Book ID
110679127
Publisher
The Hebrew University Magnes Press
Year
2003
Tongue
English
Weight
738 KB
Volume
133
Category
Article
ISSN
0021-2172

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We show that any light map f : X + Y between compact spaces admits a decomposition f = gh, where g : 2 + Y is a finite-to-one map of a special type and h : X + 2 has arbitrarily small fibers. It follows that light maps between compact spaces do not lower extensional dimension. Our theorem yields a p

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