科研之友
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摘要
A metric space M is said to have the fibered approximation property in dimension n (briefly, M is an element of FAP(n)) if for any epsilon > 0, m >= 0 and any map g : I-m x I-n -> M there exists a map g' : I-m x I-n -> M such that g' is epsilon-homotopic to g and dim g'({z} x I-n) <= 1n for all z is an element of I-m. The class of spaces having the FAP(n)-property is investigated in this paper. The main theorems are applied to obtain generalizations of some results due to Uspenskij [11] and Tuncali-Valov [10].
- 出版日期2010-6
