Abstract
We shall prove the following: (1) Let r: X → Y be a refinable map between paracompact spaces. Then X is finitistic if and only if Y is finitistic. (2) Let f: X → Y be a hereditary shape equivalence between metric spaces. Then if X is finitistic, Y is finitistic.
Original language | English |
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Pages (from-to) | 3091-3096 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 130 |
Issue number | 10 |
DOIs | |
Publication status | Published - 2002 Oct |
Externally published | Yes |
Keywords
- C-refinable maps
- Cohomological dimension
- Extension dimension
- Finitistic spaces
- Hereditary shape equivalences
- Refinable maps
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics