Some m-dimensional compacta admitting a dense set of imbeddings into $R^{2m}$

Darryl McCullough; Leonard Rubin

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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].

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Displaying similar documents to “Some m-dimensional compacta admitting a dense set of imbeddings into R 2 m ”

Displaying similar documents to “Some m-dimensional compacta admitting a dense set of imbeddings into $R^{2 m}$ ”