A metric space M is said to have the fibered approximation property in dimension n (briefly, M ∈ FAP(n)) if for any ɛ > 0, m ≥ 0 and any map g: m × n → M there exists a map g′: m × n → M such that g′ is ɛ-homotopic to g and dim g′ (z × n) ≤ n for all z ∈ 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].
@article{bwmeta1.element.doi-10_2478_s11533-010-0027-2,
author = {Taras Banakh and Vesko Valov},
title = {Spaces with fibered approximation property in dimension n},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {411-420},
zbl = {1221.54042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0027-2}
}
Taras Banakh; Vesko Valov. Spaces with fibered approximation property in dimension n. Open Mathematics, Tome 8 (2010) pp. 411-420. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0027-2/
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