Some extension and classification theorems for maps of movable spaces
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Spaces with fibered approximation property in dimension n
Taras Banakh, Vesko Valov (2010)
Open Mathematics
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].
Strong Cohomological Dimension
Jerzy Dydak, Akira Koyama (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps. We also show that if X is a separable metric ANR and G is a countable Abelian group. Hence for any separable metric ANR X.
Strongly homotopically stabile points
A. Lelek (1977)
Colloquium Mathematicae
Subspace and addition theorems for extension and cohomological dimensions. A problem of Kuzminov
V. V. Fedorchuk (2009)
Matematički Vesnik
Suites Fσ -absorbantes en théorie de la dimension
Robert Cauty (1999)
Fundamenta Mathematicae
Currently displaying 1 – 6 of 6
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