Approximate inverse systems of uniform spaces  and an application of inverse systems

Michael G. Charalambous

Displaying similar documents to “Approximate inverse systems of uniform spaces and an application of inverse systems”

Further theory and applications of covering dimension of uniform spaces

Michael G. Charalambous (1991)

Czechoslovak Mathematical Journal

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A survey of dimension theory

Nagata, Jun-iti

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Spaces with fibered approximation property in dimension n

Taras Banakh, Vesko Valov (2010)

Open Mathematics

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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: $𝕀$ m × $𝕀$ n → M there exists a map g′: $𝕀$ m × $𝕀$ n → M such that g′ is ɛ-homotopic to g and dim g′ (z × $𝕀$ n) ≤ n for all z ∈ $𝕀$ 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].

Metric dimension and equivalent metrics

J. H. Roberts, F. G. Slaughert, Jr. (1968)

Fundamenta Mathematicae

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