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
โฆ LIBER โฆ
Some mapping theorems for extensional dimension
โ 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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