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Extension Dimension and Refinable Maps

โœ Scribed by A. Chigogidze; V. Valov


Book ID
110325184
Publisher
Akadmiai Kiad
Year
2001
Tongue
English
Weight
248 KB
Volume
92
Category
Article
ISSN
1588-2632

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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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